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Finding the Fourth Proportional to 6,882.30, 9,488.37 and 5,470.67

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Solution

The fourth proportional to 6,882.30, 9,488.37 and 5,470.67 is: 7,542.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.30 : 9,488.37 = 5,470.67 : x
  2. Step 2: Convert to fraction form
    6,882.30/9,488.37 = 5,470.67/x
  3. Step 3: Cross multiply
    6,882.30x = 9,488.37 × 5,470.67
  4. Step 4: Simplify right side
    6,882.30x = 51,907,741.11
  5. Step 5: Solve for x
    x = 51,907,741.11/6,882.30
  6. Step 6: Final answer
    x = 7,542.21

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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.