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Finding the Fourth Proportional to 9,315.46, 12,854.19 and 5,538.70

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Solution

The fourth proportional to 9,315.46, 12,854.19 and 5,538.70 is: 7,642.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.46 : 12,854.19 = 5,538.70 : x
  2. Step 2: Convert to fraction form
    9,315.46/12,854.19 = 5,538.70/x
  3. Step 3: Cross multiply
    9,315.46x = 12,854.19 × 5,538.70
  4. Step 4: Simplify right side
    9,315.46x = 71,195,502.15
  5. Step 5: Solve for x
    x = 71,195,502.15/9,315.46
  6. Step 6: Final answer
    x = 7,642.73

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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.