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Finding the Fourth Proportional to 8,971.48, 12,382.77 and 5,614.30

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Solution

The fourth proportional to 8,971.48, 12,382.77 and 5,614.30 is: 7,749.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.48 : 12,382.77 = 5,614.30 : x
  2. Step 2: Convert to fraction form
    8,971.48/12,382.77 = 5,614.30/x
  3. Step 3: Cross multiply
    8,971.48x = 12,382.77 × 5,614.30
  4. Step 4: Simplify right side
    8,971.48x = 69,520,585.61
  5. Step 5: Solve for x
    x = 69,520,585.61/8,971.48
  6. Step 6: Final answer
    x = 7,749.07

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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.