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Finding the Fourth Proportional to 9,042.86, 12,478.92 and 5,064.22

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Solution

The fourth proportional to 9,042.86, 12,478.92 and 5,064.22 is: 6,988.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.86 : 12,478.92 = 5,064.22 : x
  2. Step 2: Convert to fraction form
    9,042.86/12,478.92 = 5,064.22/x
  3. Step 3: Cross multiply
    9,042.86x = 12,478.92 × 5,064.22
  4. Step 4: Simplify right side
    9,042.86x = 63,195,996.24
  5. Step 5: Solve for x
    x = 63,195,996.24/9,042.86
  6. Step 6: Final answer
    x = 6,988.50

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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.