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Finding the Fourth Proportional to 9,702.08, 13,387.52 and 5,452.55

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Solution

The fourth proportional to 9,702.08, 13,387.52 and 5,452.55 is: 7,523.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.08 : 13,387.52 = 5,452.55 : x
  2. Step 2: Convert to fraction form
    9,702.08/13,387.52 = 5,452.55/x
  3. Step 3: Cross multiply
    9,702.08x = 13,387.52 × 5,452.55
  4. Step 4: Simplify right side
    9,702.08x = 72,996,094.85
  5. Step 5: Solve for x
    x = 72,996,094.85/9,702.08
  6. Step 6: Final answer
    x = 7,523.76

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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.