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Finding the Fourth Proportional to 9,246.28, 12,758.86 and 5,469.58

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Solution

The fourth proportional to 9,246.28, 12,758.86 and 5,469.58 is: 7,547.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.28 : 12,758.86 = 5,469.58 : x
  2. Step 2: Convert to fraction form
    9,246.28/12,758.86 = 5,469.58/x
  3. Step 3: Cross multiply
    9,246.28x = 12,758.86 × 5,469.58
  4. Step 4: Simplify right side
    9,246.28x = 69,785,605.48
  5. Step 5: Solve for x
    x = 69,785,605.48/9,246.28
  6. Step 6: Final answer
    x = 7,547.43

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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.