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Finding the Fourth Proportional to 8,917.16, 13,375.68 and 6,971

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Solution

The fourth proportional to 8,917.16, 13,375.68 and 6,971 is: 10,456.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,917.16 : 13,375.68 = 6,971 : x
  2. Step 2: Convert to fraction form
    8,917.16/13,375.68 = 6,971/x
  3. Step 3: Cross multiply
    8,917.16x = 13,375.68 × 6,971
  4. Step 4: Simplify right side
    8,917.16x = 93,241,865.28
  5. Step 5: Solve for x
    x = 93,241,865.28/8,917.16
  6. Step 6: Final answer
    x = 10,456.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.