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Finding the Fourth Proportional to 8,971.26, 13,456.88 and 2,397.50

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Solution

The fourth proportional to 8,971.26, 13,456.88 and 2,397.50 is: 3,596.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.26 : 13,456.88 = 2,397.50 : x
  2. Step 2: Convert to fraction form
    8,971.26/13,456.88 = 2,397.50/x
  3. Step 3: Cross multiply
    8,971.26x = 13,456.88 × 2,397.50
  4. Step 4: Simplify right side
    8,971.26x = 32,262,863.47
  5. Step 5: Solve for x
    x = 32,262,863.47/8,971.26
  6. Step 6: Final answer
    x = 3,596.25

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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.