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Finding the Fourth Proportional to 9,972.72, 13,767.17 and 6,987.47

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Solution

The fourth proportional to 9,972.72, 13,767.17 and 6,987.47 is: 9,646.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972.72 : 13,767.17 = 6,987.47 : x
  2. Step 2: Convert to fraction form
    9,972.72/13,767.17 = 6,987.47/x
  3. Step 3: Cross multiply
    9,972.72x = 13,767.17 × 6,987.47
  4. Step 4: Simplify right side
    9,972.72x = 96,197,583.59
  5. Step 5: Solve for x
    x = 96,197,583.59/9,972.72
  6. Step 6: Final answer
    x = 9,646.07

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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.