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Finding the Fourth Proportional to 9,293.38, 12,823.20 and 5,260.18

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Solution

The fourth proportional to 9,293.38, 12,823.20 and 5,260.18 is: 7,258.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.38 : 12,823.20 = 5,260.18 : x
  2. Step 2: Convert to fraction form
    9,293.38/12,823.20 = 5,260.18/x
  3. Step 3: Cross multiply
    9,293.38x = 12,823.20 × 5,260.18
  4. Step 4: Simplify right side
    9,293.38x = 67,452,340.18
  5. Step 5: Solve for x
    x = 67,452,340.18/9,293.38
  6. Step 6: Final answer
    x = 7,258.11

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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.