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Finding the Fourth Proportional to 9,400.86, 14,101.29 and 4,787.10

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Solution

The fourth proportional to 9,400.86, 14,101.29 and 4,787.10 is: 7,180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.86 : 14,101.29 = 4,787.10 : x
  2. Step 2: Convert to fraction form
    9,400.86/14,101.29 = 4,787.10/x
  3. Step 3: Cross multiply
    9,400.86x = 14,101.29 × 4,787.10
  4. Step 4: Simplify right side
    9,400.86x = 67,504,285.36
  5. Step 5: Solve for x
    x = 67,504,285.36/9,400.86
  6. Step 6: Final answer
    x = 7,180.65

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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.