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Finding the Fourth Proportional to 6,314.78, 9,473.98 and 2,567.72

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Solution

The fourth proportional to 6,314.78, 9,473.98 and 2,567.72 is: 3,852.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.78 : 9,473.98 = 2,567.72 : x
  2. Step 2: Convert to fraction form
    6,314.78/9,473.98 = 2,567.72/x
  3. Step 3: Cross multiply
    6,314.78x = 9,473.98 × 2,567.72
  4. Step 4: Simplify right side
    6,314.78x = 24,326,527.93
  5. Step 5: Solve for x
    x = 24,326,527.93/6,314.78
  6. Step 6: Final answer
    x = 3,852.32

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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.