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Finding the Fourth Proportional to 9,542.22, 13,169.05 and 5,294.65

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Solution

The fourth proportional to 9,542.22, 13,169.05 and 5,294.65 is: 7,307.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.22 : 13,169.05 = 5,294.65 : x
  2. Step 2: Convert to fraction form
    9,542.22/13,169.05 = 5,294.65/x
  3. Step 3: Cross multiply
    9,542.22x = 13,169.05 × 5,294.65
  4. Step 4: Simplify right side
    9,542.22x = 69,725,510.58
  5. Step 5: Solve for x
    x = 69,725,510.58/9,542.22
  6. Step 6: Final answer
    x = 7,307.06

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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.