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Finding the Fourth Proportional to 9,777.31, 13,492.71 and 5,799.17

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Solution

The fourth proportional to 9,777.31, 13,492.71 and 5,799.17 is: 8,002.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.31 : 13,492.71 = 5,799.17 : x
  2. Step 2: Convert to fraction form
    9,777.31/13,492.71 = 5,799.17/x
  3. Step 3: Cross multiply
    9,777.31x = 13,492.71 × 5,799.17
  4. Step 4: Simplify right side
    9,777.31x = 78,246,552.78
  5. Step 5: Solve for x
    x = 78,246,552.78/9,777.31
  6. Step 6: Final answer
    x = 8,002.87

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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.