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Finding the Fourth Proportional to 6,776.04, 9,351.76 and 4,123.84

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Solution

The fourth proportional to 6,776.04, 9,351.76 and 4,123.84 is: 5,691.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.04 : 9,351.76 = 4,123.84 : x
  2. Step 2: Convert to fraction form
    6,776.04/9,351.76 = 4,123.84/x
  3. Step 3: Cross multiply
    6,776.04x = 9,351.76 × 4,123.84
  4. Step 4: Simplify right side
    6,776.04x = 38,565,161.96
  5. Step 5: Solve for x
    x = 38,565,161.96/6,776.04
  6. Step 6: Final answer
    x = 5,691.40

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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.