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Finding the Fourth Proportional to 9,358.24, 12,920.88 and 5,823.04

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Solution

The fourth proportional to 9,358.24, 12,920.88 and 5,823.04 is: 8,039.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.24 : 12,920.88 = 5,823.04 : x
  2. Step 2: Convert to fraction form
    9,358.24/12,920.88 = 5,823.04/x
  3. Step 3: Cross multiply
    9,358.24x = 12,920.88 × 5,823.04
  4. Step 4: Simplify right side
    9,358.24x = 75,238,801.08
  5. Step 5: Solve for x
    x = 75,238,801.08/9,358.24
  6. Step 6: Final answer
    x = 8,039.85

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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.