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Finding the Fourth Proportional to 10,209.76, 14,079.11 and 9,614.48

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Solution

The fourth proportional to 10,209.76, 14,079.11 and 9,614.48 is: 13,258.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.76 : 14,079.11 = 9,614.48 : x
  2. Step 2: Convert to fraction form
    10,209.76/14,079.11 = 9,614.48/x
  3. Step 3: Cross multiply
    10,209.76x = 14,079.11 × 9,614.48
  4. Step 4: Simplify right side
    10,209.76x = 135,363,203.04
  5. Step 5: Solve for x
    x = 135,363,203.04/10,209.76
  6. Step 6: Final answer
    x = 13,258.22

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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.