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Finding the Fourth Proportional to 7,014.34, 9,680.33 and 4,031.21

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Solution

The fourth proportional to 7,014.34, 9,680.33 and 4,031.21 is: 5,563.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.34 : 9,680.33 = 4,031.21 : x
  2. Step 2: Convert to fraction form
    7,014.34/9,680.33 = 4,031.21/x
  3. Step 3: Cross multiply
    7,014.34x = 9,680.33 × 4,031.21
  4. Step 4: Simplify right side
    7,014.34x = 39,023,477.38
  5. Step 5: Solve for x
    x = 39,023,477.38/7,014.34
  6. Step 6: Final answer
    x = 5,563.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.