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Finding the Fourth Proportional to 9,332.64, 13,974.12 and 7,856.46

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Solution

The fourth proportional to 9,332.64, 13,974.12 and 7,856.46 is: 11,763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,332.64 : 13,974.12 = 7,856.46 : x
  2. Step 2: Convert to fraction form
    9,332.64/13,974.12 = 7,856.46/x
  3. Step 3: Cross multiply
    9,332.64x = 13,974.12 × 7,856.46
  4. Step 4: Simplify right side
    9,332.64x = 109,787,114.82
  5. Step 5: Solve for x
    x = 109,787,114.82/9,332.64
  6. Step 6: Final answer
    x = 11,763.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.