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Finding the Fourth Proportional to 6,437.20, 9,672.02 and 4,098.28

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Solution

The fourth proportional to 6,437.20, 9,672.02 and 4,098.28 is: 6,157.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.20 : 9,672.02 = 4,098.28 : x
  2. Step 2: Convert to fraction form
    6,437.20/9,672.02 = 4,098.28/x
  3. Step 3: Cross multiply
    6,437.20x = 9,672.02 × 4,098.28
  4. Step 4: Simplify right side
    6,437.20x = 39,638,646.13
  5. Step 5: Solve for x
    x = 39,638,646.13/6,437.20
  6. Step 6: Final answer
    x = 6,157.75

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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.