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Finding the Fourth Proportional to 6,437.61, 9,672.59 and 4,098.66

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Solution

The fourth proportional to 6,437.61, 9,672.59 and 4,098.66 is: 6,158.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.61 : 9,672.59 = 4,098.66 : x
  2. Step 2: Convert to fraction form
    6,437.61/9,672.59 = 4,098.66/x
  3. Step 3: Cross multiply
    6,437.61x = 9,672.59 × 4,098.66
  4. Step 4: Simplify right side
    6,437.61x = 39,644,588.87
  5. Step 5: Solve for x
    x = 39,644,588.87/6,437.61
  6. Step 6: Final answer
    x = 6,158.28

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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.