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Finding the Fourth Proportional to 9,972.26, 13,753.86 and 9,301.58

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Solution

The fourth proportional to 9,972.26, 13,753.86 and 9,301.58 is: 12,828.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972.26 : 13,753.86 = 9,301.58 : x
  2. Step 2: Convert to fraction form
    9,972.26/13,753.86 = 9,301.58/x
  3. Step 3: Cross multiply
    9,972.26x = 13,753.86 × 9,301.58
  4. Step 4: Simplify right side
    9,972.26x = 127,932,629.10
  5. Step 5: Solve for x
    x = 127,932,629.10/9,972.26
  6. Step 6: Final answer
    x = 12,828.85

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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.