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Finding the Fourth Proportional to 9,141.46, 12,613.62 and 5,162.47

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Solution

The fourth proportional to 9,141.46, 12,613.62 and 5,162.47 is: 7,123.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.46 : 12,613.62 = 5,162.47 : x
  2. Step 2: Convert to fraction form
    9,141.46/12,613.62 = 5,162.47/x
  3. Step 3: Cross multiply
    9,141.46x = 12,613.62 × 5,162.47
  4. Step 4: Simplify right side
    9,141.46x = 65,117,422.67
  5. Step 5: Solve for x
    x = 65,117,422.67/9,141.46
  6. Step 6: Final answer
    x = 7,123.31

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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.