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Finding the Fourth Proportional to 9,027.24, 12,457.89 and 5,048.31

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Solution

The fourth proportional to 9,027.24, 12,457.89 and 5,048.31 is: 6,966.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,027.24 : 12,457.89 = 5,048.31 : x
  2. Step 2: Convert to fraction form
    9,027.24/12,457.89 = 5,048.31/x
  3. Step 3: Cross multiply
    9,027.24x = 12,457.89 × 5,048.31
  4. Step 4: Simplify right side
    9,027.24x = 62,891,290.67
  5. Step 5: Solve for x
    x = 62,891,290.67/9,027.24
  6. Step 6: Final answer
    x = 6,966.83

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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.