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Finding the Fourth Proportional to 9,997.17, 13,791.49 and 6,461.52

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Solution

The fourth proportional to 9,997.17, 13,791.49 and 6,461.52 is: 8,913.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.17 : 13,791.49 = 6,461.52 : x
  2. Step 2: Convert to fraction form
    9,997.17/13,791.49 = 6,461.52/x
  3. Step 3: Cross multiply
    9,997.17x = 13,791.49 × 6,461.52
  4. Step 4: Simplify right side
    9,997.17x = 89,113,988.46
  5. Step 5: Solve for x
    x = 89,113,988.46/9,997.17
  6. Step 6: Final answer
    x = 8,913.92

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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.