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Finding the Fourth Proportional to 8,997.17, 12,417.71 and 5,642.82

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Solution

The fourth proportional to 8,997.17, 12,417.71 and 5,642.82 is: 7,788.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,997.17 : 12,417.71 = 5,642.82 : x
  2. Step 2: Convert to fraction form
    8,997.17/12,417.71 = 5,642.82/x
  3. Step 3: Cross multiply
    8,997.17x = 12,417.71 × 5,642.82
  4. Step 4: Simplify right side
    8,997.17x = 70,070,874.13
  5. Step 5: Solve for x
    x = 70,070,874.13/8,997.17
  6. Step 6: Final answer
    x = 7,788.11

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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.