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Finding the Fourth Proportional to 9,197.52, 12,693.92 and 5,164.80

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Solution

The fourth proportional to 9,197.52, 12,693.92 and 5,164.80 is: 7,128.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.52 : 12,693.92 = 5,164.80 : x
  2. Step 2: Convert to fraction form
    9,197.52/12,693.92 = 5,164.80/x
  3. Step 3: Cross multiply
    9,197.52x = 12,693.92 × 5,164.80
  4. Step 4: Simplify right side
    9,197.52x = 65,561,532.19
  5. Step 5: Solve for x
    x = 65,561,532.19/9,197.52
  6. Step 6: Final answer
    x = 7,128.18

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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.