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Finding the Fourth Proportional to 6,776.90, 9,352.08 and 4,123.78

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Solution

The fourth proportional to 6,776.90, 9,352.08 and 4,123.78 is: 5,690.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.90 : 9,352.08 = 4,123.78 : x
  2. Step 2: Convert to fraction form
    6,776.90/9,352.08 = 4,123.78/x
  3. Step 3: Cross multiply
    6,776.90x = 9,352.08 × 4,123.78
  4. Step 4: Simplify right side
    6,776.90x = 38,565,920.46
  5. Step 5: Solve for x
    x = 38,565,920.46/6,776.90
  6. Step 6: Final answer
    x = 5,690.79

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