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Finding the Fourth Proportional to 9,026.44, 12,456.49 and 5,047.57

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Solution

The fourth proportional to 9,026.44, 12,456.49 and 5,047.57 is: 6,965.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,026.44 : 12,456.49 = 5,047.57 : x
  2. Step 2: Convert to fraction form
    9,026.44/12,456.49 = 5,047.57/x
  3. Step 3: Cross multiply
    9,026.44x = 12,456.49 × 5,047.57
  4. Step 4: Simplify right side
    9,026.44x = 62,875,005.23
  5. Step 5: Solve for x
    x = 62,875,005.23/9,026.44
  6. Step 6: Final answer
    x = 6,965.65

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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.