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Finding the Fourth Proportional to 9,071.73, 12,520.36 and 5,537

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Solution

The fourth proportional to 9,071.73, 12,520.36 and 5,537 is: 7,641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.73 : 12,520.36 = 5,537 : x
  2. Step 2: Convert to fraction form
    9,071.73/12,520.36 = 5,537/x
  3. Step 3: Cross multiply
    9,071.73x = 12,520.36 × 5,537
  4. Step 4: Simplify right side
    9,071.73x = 69,325,233.32
  5. Step 5: Solve for x
    x = 69,325,233.32/9,071.73
  6. Step 6: Final answer
    x = 7,641.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.