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Finding the Fourth Proportional to 9,841.86, 14,762.39 and 2,446.16

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Solution

The fourth proportional to 9,841.86, 14,762.39 and 2,446.16 is: 3,669.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.86 : 14,762.39 = 2,446.16 : x
  2. Step 2: Convert to fraction form
    9,841.86/14,762.39 = 2,446.16/x
  3. Step 3: Cross multiply
    9,841.86x = 14,762.39 × 2,446.16
  4. Step 4: Simplify right side
    9,841.86x = 36,111,081.88
  5. Step 5: Solve for x
    x = 36,111,081.88/9,841.86
  6. Step 6: Final answer
    x = 3,669.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.