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Finding the Fourth Proportional to 6,088.14, 9,132.18 and 1,471.14

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Solution

The fourth proportional to 6,088.14, 9,132.18 and 1,471.14 is: 2,206.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,088.14 : 9,132.18 = 1,471.14 : x
  2. Step 2: Convert to fraction form
    6,088.14/9,132.18 = 1,471.14/x
  3. Step 3: Cross multiply
    6,088.14x = 9,132.18 × 1,471.14
  4. Step 4: Simplify right side
    6,088.14x = 13,434,715.29
  5. Step 5: Solve for x
    x = 13,434,715.29/6,088.14
  6. Step 6: Final answer
    x = 2,206.70

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