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Finding the Fourth Proportional to 9,801.60, 14,702.60 and 7,732.86

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Solution

The fourth proportional to 9,801.60, 14,702.60 and 7,732.86 is: 11,599.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.60 : 14,702.60 = 7,732.86 : x
  2. Step 2: Convert to fraction form
    9,801.60/14,702.60 = 7,732.86/x
  3. Step 3: Cross multiply
    9,801.60x = 14,702.60 × 7,732.86
  4. Step 4: Simplify right side
    9,801.60x = 113,693,147.44
  5. Step 5: Solve for x
    x = 113,693,147.44/9,801.60
  6. Step 6: Final answer
    x = 11,599.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.