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Finding the Fourth Proportional to 6,064.71, 9,097.50 and 3,143.55

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Solution

The fourth proportional to 6,064.71, 9,097.50 and 3,143.55 is: 4,715.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,064.71 : 9,097.50 = 3,143.55 : x
  2. Step 2: Convert to fraction form
    6,064.71/9,097.50 = 3,143.55/x
  3. Step 3: Cross multiply
    6,064.71x = 9,097.50 × 3,143.55
  4. Step 4: Simplify right side
    6,064.71x = 28,598,446.13
  5. Step 5: Solve for x
    x = 28,598,446.13/6,064.71
  6. Step 6: Final answer
    x = 4,715.55

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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.