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Finding the Fourth Proportional to 6,314.96, 8,711.88 and 6,022.16

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Solution

The fourth proportional to 6,314.96, 8,711.88 and 6,022.16 is: 8,307.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.96 : 8,711.88 = 6,022.16 : x
  2. Step 2: Convert to fraction form
    6,314.96/8,711.88 = 6,022.16/x
  3. Step 3: Cross multiply
    6,314.96x = 8,711.88 × 6,022.16
  4. Step 4: Simplify right side
    6,314.96x = 52,464,335.26
  5. Step 5: Solve for x
    x = 52,464,335.26/6,314.96
  6. Step 6: Final answer
    x = 8,307.94

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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.