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Finding the Fourth Proportional to 9,702.24, 13,394.44 and 6,520.16

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Solution

The fourth proportional to 9,702.24, 13,394.44 and 6,520.16 is: 9,001.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.24 : 13,394.44 = 6,520.16 : x
  2. Step 2: Convert to fraction form
    9,702.24/13,394.44 = 6,520.16/x
  3. Step 3: Cross multiply
    9,702.24x = 13,394.44 × 6,520.16
  4. Step 4: Simplify right side
    9,702.24x = 87,333,891.91
  5. Step 5: Solve for x
    x = 87,333,891.91/9,702.24
  6. Step 6: Final answer
    x = 9,001.42

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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.