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Finding the Fourth Proportional to 9,469.31, 13,069.17 and 7,448.16

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Solution

The fourth proportional to 9,469.31, 13,069.17 and 7,448.16 is: 10,279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.31 : 13,069.17 = 7,448.16 : x
  2. Step 2: Convert to fraction form
    9,469.31/13,069.17 = 7,448.16/x
  3. Step 3: Cross multiply
    9,469.31x = 13,069.17 × 7,448.16
  4. Step 4: Simplify right side
    9,469.31x = 97,341,269.23
  5. Step 5: Solve for x
    x = 97,341,269.23/9,469.31
  6. Step 6: Final answer
    x = 10,279.66

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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.