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Finding the Fourth Proportional to 6,780.85, 9,358.74 and 4,263.98

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Solution

The fourth proportional to 6,780.85, 9,358.74 and 4,263.98 is: 5,885.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.85 : 9,358.74 = 4,263.98 : x
  2. Step 2: Convert to fraction form
    6,780.85/9,358.74 = 4,263.98/x
  3. Step 3: Cross multiply
    6,780.85x = 9,358.74 × 4,263.98
  4. Step 4: Simplify right side
    6,780.85x = 39,905,433.39
  5. Step 5: Solve for x
    x = 39,905,433.39/6,780.85
  6. Step 6: Final answer
    x = 5,885.02

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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.