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Finding the Fourth Proportional to 9,279.38, 12,807.59 and 7,258.79

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Solution

The fourth proportional to 9,279.38, 12,807.59 and 7,258.79 is: 10,018.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,279.38 : 12,807.59 = 7,258.79 : x
  2. Step 2: Convert to fraction form
    9,279.38/12,807.59 = 7,258.79/x
  3. Step 3: Cross multiply
    9,279.38x = 12,807.59 × 7,258.79
  4. Step 4: Simplify right side
    9,279.38x = 92,967,505.88
  5. Step 5: Solve for x
    x = 92,967,505.88/9,279.38
  6. Step 6: Final answer
    x = 10,018.72

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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.