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Finding the Fourth Proportional to 9,013.44, 12,430.56 and 6,661.44

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Solution

The fourth proportional to 9,013.44, 12,430.56 and 6,661.44 is: 9,186.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,013.44 : 12,430.56 = 6,661.44 : x
  2. Step 2: Convert to fraction form
    9,013.44/12,430.56 = 6,661.44/x
  3. Step 3: Cross multiply
    9,013.44x = 12,430.56 × 6,661.44
  4. Step 4: Simplify right side
    9,013.44x = 82,805,429.61
  5. Step 5: Solve for x
    x = 82,805,429.61/9,013.44
  6. Step 6: Final answer
    x = 9,186.88

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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.