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Finding the Fourth Proportional to 7,279.20, 9,910.08 and 7,214.40

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Solution

The fourth proportional to 7,279.20, 9,910.08 and 7,214.40 is: 9,821.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,279.20 : 9,910.08 = 7,214.40 : x
  2. Step 2: Convert to fraction form
    7,279.20/9,910.08 = 7,214.40/x
  3. Step 3: Cross multiply
    7,279.20x = 9,910.08 × 7,214.40
  4. Step 4: Simplify right side
    7,279.20x = 71,495,281.15
  5. Step 5: Solve for x
    x = 71,495,281.15/7,279.20
  6. Step 6: Final answer
    x = 9,821.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.