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Finding the Fourth Proportional to 6,431.22, 9,641.36 and 6,125.04

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Solution

The fourth proportional to 6,431.22, 9,641.36 and 6,125.04 is: 9,182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.22 : 9,641.36 = 6,125.04 : x
  2. Step 2: Convert to fraction form
    6,431.22/9,641.36 = 6,125.04/x
  3. Step 3: Cross multiply
    6,431.22x = 9,641.36 × 6,125.04
  4. Step 4: Simplify right side
    6,431.22x = 59,053,730.97
  5. Step 5: Solve for x
    x = 59,053,730.97/6,431.22
  6. Step 6: Final answer
    x = 9,182.35

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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.