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Finding the Fourth Proportional to 9,767.17, 13,473.31 and 5,787.55

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Solution

The fourth proportional to 9,767.17, 13,473.31 and 5,787.55 is: 7,983.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.17 : 13,473.31 = 5,787.55 : x
  2. Step 2: Convert to fraction form
    9,767.17/13,473.31 = 5,787.55/x
  3. Step 3: Cross multiply
    9,767.17x = 13,473.31 × 5,787.55
  4. Step 4: Simplify right side
    9,767.17x = 77,977,358.99
  5. Step 5: Solve for x
    x = 77,977,358.99/9,767.17
  6. Step 6: Final answer
    x = 7,983.62

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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.