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Finding the Fourth Proportional to 9,354,465.24, 12,902,048.73 and 8,049,916.10

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Solution

The fourth proportional to 9,354,465.24, 12,902,048.73 and 8,049,916.10 is: 11,102,762.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354,465.24 : 12,902,048.73 = 8,049,916.10 : x
  2. Step 2: Convert to fraction form
    9,354,465.24/12,902,048.73 = 8,049,916.10/x
  3. Step 3: Cross multiply
    9,354,465.24x = 12,902,048.73 × 8,049,916.10
  4. Step 4: Simplify right side
    9,354,465.24x = 103,860,409,730,101.31
  5. Step 5: Solve for x
    x = 103,860,409,730,101.31/9,354,465.24
  6. Step 6: Final answer
    x = 11,102,762.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.