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Finding the Fourth Proportional to 9,291.38, 12,820.44 and 5,258.18

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Solution

The fourth proportional to 9,291.38, 12,820.44 and 5,258.18 is: 7,255.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.38 : 12,820.44 = 5,258.18 : x
  2. Step 2: Convert to fraction form
    9,291.38/12,820.44 = 5,258.18/x
  3. Step 3: Cross multiply
    9,291.38x = 12,820.44 × 5,258.18
  4. Step 4: Simplify right side
    9,291.38x = 67,412,232.97
  5. Step 5: Solve for x
    x = 67,412,232.97/9,291.38
  6. Step 6: Final answer
    x = 7,255.36

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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.