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Finding the Fourth Proportional to 9,727.65, 13,425.31 and 5,478.86

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Solution

The fourth proportional to 9,727.65, 13,425.31 and 5,478.86 is: 7,561.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727.65 : 13,425.31 = 5,478.86 : x
  2. Step 2: Convert to fraction form
    9,727.65/13,425.31 = 5,478.86/x
  3. Step 3: Cross multiply
    9,727.65x = 13,425.31 × 5,478.86
  4. Step 4: Simplify right side
    9,727.65x = 73,555,393.95
  5. Step 5: Solve for x
    x = 73,555,393.95/9,727.65
  6. Step 6: Final answer
    x = 7,561.48

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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.