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Finding the Fourth Proportional to 9,929.64, 13,702.56 and 5,951.16

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Solution

The fourth proportional to 9,929.64, 13,702.56 and 5,951.16 is: 8,212.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.64 : 13,702.56 = 5,951.16 : x
  2. Step 2: Convert to fraction form
    9,929.64/13,702.56 = 5,951.16/x
  3. Step 3: Cross multiply
    9,929.64x = 13,702.56 × 5,951.16
  4. Step 4: Simplify right side
    9,929.64x = 81,546,126.97
  5. Step 5: Solve for x
    x = 81,546,126.97/9,929.64
  6. Step 6: Final answer
    x = 8,212.40

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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.