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Finding the Fourth Proportional to 10,765.60, 14,863.44 and 9,702.88

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Solution

The fourth proportional to 10,765.60, 14,863.44 and 9,702.88 is: 13,396.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.60 : 14,863.44 = 9,702.88 : x
  2. Step 2: Convert to fraction form
    10,765.60/14,863.44 = 9,702.88/x
  3. Step 3: Cross multiply
    10,765.60x = 14,863.44 × 9,702.88
  4. Step 4: Simplify right side
    10,765.60x = 144,218,174.71
  5. Step 5: Solve for x
    x = 144,218,174.71/10,765.60
  6. Step 6: Final answer
    x = 13,396.20

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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.