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Finding the Fourth Proportional to 9,764.88, 13,474.68 and 5,785.32

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Solution

The fourth proportional to 9,764.88, 13,474.68 and 5,785.32 is: 7,983.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.88 : 13,474.68 = 5,785.32 : x
  2. Step 2: Convert to fraction form
    9,764.88/13,474.68 = 5,785.32/x
  3. Step 3: Cross multiply
    9,764.88x = 13,474.68 × 5,785.32
  4. Step 4: Simplify right side
    9,764.88x = 77,955,335.70
  5. Step 5: Solve for x
    x = 77,955,335.70/9,764.88
  6. Step 6: Final answer
    x = 7,983.24

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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.