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Finding the Fourth Proportional to 8,971.68, 12,372.54 and 5,613.42

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Solution

The fourth proportional to 8,971.68, 12,372.54 and 5,613.42 is: 7,741.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.68 : 12,372.54 = 5,613.42 : x
  2. Step 2: Convert to fraction form
    8,971.68/12,372.54 = 5,613.42/x
  3. Step 3: Cross multiply
    8,971.68x = 12,372.54 × 5,613.42
  4. Step 4: Simplify right side
    8,971.68x = 69,452,263.49
  5. Step 5: Solve for x
    x = 69,452,263.49/8,971.68
  6. Step 6: Final answer
    x = 7,741.28

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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.