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Finding the Fourth Proportional to 9,027.09, 12,456.90 and 5,047.47

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Solution

The fourth proportional to 9,027.09, 12,456.90 and 5,047.47 is: 6,965.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,027.09 : 12,456.90 = 5,047.47 : x
  2. Step 2: Convert to fraction form
    9,027.09/12,456.90 = 5,047.47/x
  3. Step 3: Cross multiply
    9,027.09x = 12,456.90 × 5,047.47
  4. Step 4: Simplify right side
    9,027.09x = 62,875,829.04
  5. Step 5: Solve for x
    x = 62,875,829.04/9,027.09
  6. Step 6: Final answer
    x = 6,965.24

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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.