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Finding the Fourth Proportional to 9,702.38, 13,385.04 and 5,924.09

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Solution

The fourth proportional to 9,702.38, 13,385.04 and 5,924.09 is: 8,172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.38 : 13,385.04 = 5,924.09 : x
  2. Step 2: Convert to fraction form
    9,702.38/13,385.04 = 5,924.09/x
  3. Step 3: Cross multiply
    9,702.38x = 13,385.04 × 5,924.09
  4. Step 4: Simplify right side
    9,702.38x = 79,294,181.61
  5. Step 5: Solve for x
    x = 79,294,181.61/9,702.38
  6. Step 6: Final answer
    x = 8,172.65

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Why These Related Problems?

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