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Finding the Fourth Proportional to 9,340.38, 14,079.06 and 9,209.16

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Solution

The fourth proportional to 9,340.38, 14,079.06 and 9,209.16 is: 13,881.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.38 : 14,079.06 = 9,209.16 : x
  2. Step 2: Convert to fraction form
    9,340.38/14,079.06 = 9,209.16/x
  3. Step 3: Cross multiply
    9,340.38x = 14,079.06 × 9,209.16
  4. Step 4: Simplify right side
    9,340.38x = 129,656,316.19
  5. Step 5: Solve for x
    x = 129,656,316.19/9,340.38
  6. Step 6: Final answer
    x = 13,881.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.