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Finding the Fourth Proportional to 6,424.02, 9,641.50 and 2,531.16

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Solution

The fourth proportional to 6,424.02, 9,641.50 and 2,531.16 is: 3,798.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.02 : 9,641.50 = 2,531.16 : x
  2. Step 2: Convert to fraction form
    6,424.02/9,641.50 = 2,531.16/x
  3. Step 3: Cross multiply
    6,424.02x = 9,641.50 × 2,531.16
  4. Step 4: Simplify right side
    6,424.02x = 24,404,172.81
  5. Step 5: Solve for x
    x = 24,404,172.81/6,424.02
  6. Step 6: Final answer
    x = 3,798.89

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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.