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Finding the Fourth Proportional to 9,026.32, 12,456.38 and 5,047.60

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Solution

The fourth proportional to 9,026.32, 12,456.38 and 5,047.60 is: 6,965.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,026.32 : 12,456.38 = 5,047.60 : x
  2. Step 2: Convert to fraction form
    9,026.32/12,456.38 = 5,047.60/x
  3. Step 3: Cross multiply
    9,026.32x = 12,456.38 × 5,047.60
  4. Step 4: Simplify right side
    9,026.32x = 62,874,823.69
  5. Step 5: Solve for x
    x = 62,874,823.69/9,026.32
  6. Step 6: Final answer
    x = 6,965.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.