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Finding the Fourth Proportional to 9,787.97, 13,507.01 and 5,311.56

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Solution

The fourth proportional to 9,787.97, 13,507.01 and 5,311.56 is: 7,329.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.97 : 13,507.01 = 5,311.56 : x
  2. Step 2: Convert to fraction form
    9,787.97/13,507.01 = 5,311.56/x
  3. Step 3: Cross multiply
    9,787.97x = 13,507.01 × 5,311.56
  4. Step 4: Simplify right side
    9,787.97x = 71,743,267.48
  5. Step 5: Solve for x
    x = 71,743,267.48/9,787.97
  6. Step 6: Final answer
    x = 7,329.74

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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.