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Finding the Fourth Proportional to 9,799.52, 13,522.53 and 5,765.69

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Solution

The fourth proportional to 9,799.52, 13,522.53 and 5,765.69 is: 7,956.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.52 : 13,522.53 = 5,765.69 : x
  2. Step 2: Convert to fraction form
    9,799.52/13,522.53 = 5,765.69/x
  3. Step 3: Cross multiply
    9,799.52x = 13,522.53 × 5,765.69
  4. Step 4: Simplify right side
    9,799.52x = 77,966,761.57
  5. Step 5: Solve for x
    x = 77,966,761.57/9,799.52
  6. Step 6: Final answer
    x = 7,956.18

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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.