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Finding the Fourth Proportional to 10,114.16, 13,957.02 and 6,337.49

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Solution

The fourth proportional to 10,114.16, 13,957.02 and 6,337.49 is: 8,745.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.16 : 13,957.02 = 6,337.49 : x
  2. Step 2: Convert to fraction form
    10,114.16/13,957.02 = 6,337.49/x
  3. Step 3: Cross multiply
    10,114.16x = 13,957.02 × 6,337.49
  4. Step 4: Simplify right side
    10,114.16x = 88,452,404.89
  5. Step 5: Solve for x
    x = 88,452,404.89/10,114.16
  6. Step 6: Final answer
    x = 8,745.41

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