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Finding the Fourth Proportional to 9,787.77, 13,507.16 and 5,311.61

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Solution

The fourth proportional to 9,787.77, 13,507.16 and 5,311.61 is: 7,330.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.77 : 13,507.16 = 5,311.61 : x
  2. Step 2: Convert to fraction form
    9,787.77/13,507.16 = 5,311.61/x
  3. Step 3: Cross multiply
    9,787.77x = 13,507.16 × 5,311.61
  4. Step 4: Simplify right side
    9,787.77x = 71,744,672.03
  5. Step 5: Solve for x
    x = 71,744,672.03/9,787.77
  6. Step 6: Final answer
    x = 7,330.03

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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.