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Finding the Fourth Proportional to 6,259.47, 9,377.65 and 5,428.41

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Solution

The fourth proportional to 6,259.47, 9,377.65 and 5,428.41 is: 8,132.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,259.47 : 9,377.65 = 5,428.41 : x
  2. Step 2: Convert to fraction form
    6,259.47/9,377.65 = 5,428.41/x
  3. Step 3: Cross multiply
    6,259.47x = 9,377.65 × 5,428.41
  4. Step 4: Simplify right side
    6,259.47x = 50,905,729.04
  5. Step 5: Solve for x
    x = 50,905,729.04/6,259.47
  6. Step 6: Final answer
    x = 8,132.59

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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.