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Finding the Fourth Proportional to 9,640.32, 13,311.18 and 7,398.65

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Solution

The fourth proportional to 9,640.32, 13,311.18 and 7,398.65 is: 10,215.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.32 : 13,311.18 = 7,398.65 : x
  2. Step 2: Convert to fraction form
    9,640.32/13,311.18 = 7,398.65/x
  3. Step 3: Cross multiply
    9,640.32x = 13,311.18 × 7,398.65
  4. Step 4: Simplify right side
    9,640.32x = 98,484,695.35
  5. Step 5: Solve for x
    x = 98,484,695.35/9,640.32
  6. Step 6: Final answer
    x = 10,215.92

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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.