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Finding the Fourth Proportional to 9,702.30, 13,388.07 and 5,452.50

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Solution

The fourth proportional to 9,702.30, 13,388.07 and 5,452.50 is: 7,523.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.30 : 13,388.07 = 5,452.50 : x
  2. Step 2: Convert to fraction form
    9,702.30/13,388.07 = 5,452.50/x
  3. Step 3: Cross multiply
    9,702.30x = 13,388.07 × 5,452.50
  4. Step 4: Simplify right side
    9,702.30x = 72,998,451.68
  5. Step 5: Solve for x
    x = 72,998,451.68/9,702.30
  6. Step 6: Final answer
    x = 7,523.83

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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.