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Finding the Fourth Proportional to 7,014.69, 9,680.49 and 4,031.13

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Solution

The fourth proportional to 7,014.69, 9,680.49 and 4,031.13 is: 5,563.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.69 : 9,680.49 = 4,031.13 : x
  2. Step 2: Convert to fraction form
    7,014.69/9,680.49 = 4,031.13/x
  3. Step 3: Cross multiply
    7,014.69x = 9,680.49 × 4,031.13
  4. Step 4: Simplify right side
    7,014.69x = 39,023,313.65
  5. Step 5: Solve for x
    x = 39,023,313.65/7,014.69
  6. Step 6: Final answer
    x = 5,563.08

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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.