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Finding the Fourth Proportional to 9,125.76, 12,593.72 and 5,146.10

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Solution

The fourth proportional to 9,125.76, 12,593.72 and 5,146.10 is: 7,101.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.76 : 12,593.72 = 5,146.10 : x
  2. Step 2: Convert to fraction form
    9,125.76/12,593.72 = 5,146.10/x
  3. Step 3: Cross multiply
    9,125.76x = 12,593.72 × 5,146.10
  4. Step 4: Simplify right side
    9,125.76x = 64,808,542.49
  5. Step 5: Solve for x
    x = 64,808,542.49/9,125.76
  6. Step 6: Final answer
    x = 7,101.71

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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.