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Finding the Fourth Proportional to 9,737.90, 14,608.29 and 3,894.38

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Solution

The fourth proportional to 9,737.90, 14,608.29 and 3,894.38 is: 5,842.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.90 : 14,608.29 = 3,894.38 : x
  2. Step 2: Convert to fraction form
    9,737.90/14,608.29 = 3,894.38/x
  3. Step 3: Cross multiply
    9,737.90x = 14,608.29 × 3,894.38
  4. Step 4: Simplify right side
    9,737.90x = 56,890,232.41
  5. Step 5: Solve for x
    x = 56,890,232.41/9,737.90
  6. Step 6: Final answer
    x = 5,842.15

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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.