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Finding the Fourth Proportional to 6,314.85, 9,464.71 and 2,800.89

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Solution

The fourth proportional to 6,314.85, 9,464.71 and 2,800.89 is: 4,197.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.85 : 9,464.71 = 2,800.89 : x
  2. Step 2: Convert to fraction form
    6,314.85/9,464.71 = 2,800.89/x
  3. Step 3: Cross multiply
    6,314.85x = 9,464.71 × 2,800.89
  4. Step 4: Simplify right side
    6,314.85x = 26,509,575.39
  5. Step 5: Solve for x
    x = 26,509,575.39/6,314.85
  6. Step 6: Final answer
    x = 4,197.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.