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Finding the Fourth Proportional to 6,314.44, 9,476.52 and 2,854.12

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Solution

The fourth proportional to 6,314.44, 9,476.52 and 2,854.12 is: 4,283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.44 : 9,476.52 = 2,854.12 : x
  2. Step 2: Convert to fraction form
    6,314.44/9,476.52 = 2,854.12/x
  3. Step 3: Cross multiply
    6,314.44x = 9,476.52 × 2,854.12
  4. Step 4: Simplify right side
    6,314.44x = 27,047,125.26
  5. Step 5: Solve for x
    x = 27,047,125.26/6,314.44
  6. Step 6: Final answer
    x = 4,283.38

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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.