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Finding the Fourth Proportional to 9,278.72, 12,803.04 and 5,500.96

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Solution

The fourth proportional to 9,278.72, 12,803.04 and 5,500.96 is: 7,590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.72 : 12,803.04 = 5,500.96 : x
  2. Step 2: Convert to fraction form
    9,278.72/12,803.04 = 5,500.96/x
  3. Step 3: Cross multiply
    9,278.72x = 12,803.04 × 5,500.96
  4. Step 4: Simplify right side
    9,278.72x = 70,429,010.92
  5. Step 5: Solve for x
    x = 70,429,010.92/9,278.72
  6. Step 6: Final answer
    x = 7,590.38

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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.