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Finding the Fourth Proportional to 6,068.71, 9,084.84 and 4,314.25

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Solution

The fourth proportional to 6,068.71, 9,084.84 and 4,314.25 is: 6,458.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,068.71 : 9,084.84 = 4,314.25 : x
  2. Step 2: Convert to fraction form
    6,068.71/9,084.84 = 4,314.25/x
  3. Step 3: Cross multiply
    6,068.71x = 9,084.84 × 4,314.25
  4. Step 4: Simplify right side
    6,068.71x = 39,194,270.97
  5. Step 5: Solve for x
    x = 39,194,270.97/6,068.71
  6. Step 6: Final answer
    x = 6,458.42

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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.