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Finding the Fourth Proportional to 6,437.19, 9,640.80 and 6,259.85

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Solution

The fourth proportional to 6,437.19, 9,640.80 and 6,259.85 is: 9,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.19 : 9,640.80 = 6,259.85 : x
  2. Step 2: Convert to fraction form
    6,437.19/9,640.80 = 6,259.85/x
  3. Step 3: Cross multiply
    6,437.19x = 9,640.80 × 6,259.85
  4. Step 4: Simplify right side
    6,437.19x = 60,349,913.68
  5. Step 5: Solve for x
    x = 60,349,913.68/6,437.19
  6. Step 6: Final answer
    x = 9,375.20

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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.