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Finding the Fourth Proportional to 9,234.59, 12,743.65 and 5,648.94

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Solution

The fourth proportional to 9,234.59, 12,743.65 and 5,648.94 is: 7,795.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.59 : 12,743.65 = 5,648.94 : x
  2. Step 2: Convert to fraction form
    9,234.59/12,743.65 = 5,648.94/x
  3. Step 3: Cross multiply
    9,234.59x = 12,743.65 × 5,648.94
  4. Step 4: Simplify right side
    9,234.59x = 71,988,089.52
  5. Step 5: Solve for x
    x = 71,988,089.52/9,234.59
  6. Step 6: Final answer
    x = 7,795.48

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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.