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Finding the Fourth Proportional to 9,964.29, 13,750.27 and 5,712.30

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Solution

The fourth proportional to 9,964.29, 13,750.27 and 5,712.30 is: 7,882.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.29 : 13,750.27 = 5,712.30 : x
  2. Step 2: Convert to fraction form
    9,964.29/13,750.27 = 5,712.30/x
  3. Step 3: Cross multiply
    9,964.29x = 13,750.27 × 5,712.30
  4. Step 4: Simplify right side
    9,964.29x = 78,545,667.32
  5. Step 5: Solve for x
    x = 78,545,667.32/9,964.29
  6. Step 6: Final answer
    x = 7,882.72

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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.