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Finding the Fourth Proportional to 9,680.74, 13,359.42 and 5,488.96

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Solution

The fourth proportional to 9,680.74, 13,359.42 and 5,488.96 is: 7,574.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.74 : 13,359.42 = 5,488.96 : x
  2. Step 2: Convert to fraction form
    9,680.74/13,359.42 = 5,488.96/x
  3. Step 3: Cross multiply
    9,680.74x = 13,359.42 × 5,488.96
  4. Step 4: Simplify right side
    9,680.74x = 73,329,322.00
  5. Step 5: Solve for x
    x = 73,329,322.00/9,680.74
  6. Step 6: Final answer
    x = 7,574.76

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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.