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Finding the Fourth Proportional to 6,187.71, 9,266.18 and 4,330.13

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Solution

The fourth proportional to 6,187.71, 9,266.18 and 4,330.13 is: 6,484.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.71 : 9,266.18 = 4,330.13 : x
  2. Step 2: Convert to fraction form
    6,187.71/9,266.18 = 4,330.13/x
  3. Step 3: Cross multiply
    6,187.71x = 9,266.18 × 4,330.13
  4. Step 4: Simplify right side
    6,187.71x = 40,123,764.00
  5. Step 5: Solve for x
    x = 40,123,764.00/6,187.71
  6. Step 6: Final answer
    x = 6,484.43

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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.