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Finding the Fourth Proportional to 9,204.60, 12,703.98 and 5,224.92

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Solution

The fourth proportional to 9,204.60, 12,703.98 and 5,224.92 is: 7,211.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.60 : 12,703.98 = 5,224.92 : x
  2. Step 2: Convert to fraction form
    9,204.60/12,703.98 = 5,224.92/x
  3. Step 3: Cross multiply
    9,204.60x = 12,703.98 × 5,224.92
  4. Step 4: Simplify right side
    9,204.60x = 66,377,279.18
  5. Step 5: Solve for x
    x = 66,377,279.18/9,204.60
  6. Step 6: Final answer
    x = 7,211.32

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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.