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Finding the Fourth Proportional to 9,257.64, 13,886.04 and 2,683.68

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Solution

The fourth proportional to 9,257.64, 13,886.04 and 2,683.68 is: 4,025.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.64 : 13,886.04 = 2,683.68 : x
  2. Step 2: Convert to fraction form
    9,257.64/13,886.04 = 2,683.68/x
  3. Step 3: Cross multiply
    9,257.64x = 13,886.04 × 2,683.68
  4. Step 4: Simplify right side
    9,257.64x = 37,265,687.83
  5. Step 5: Solve for x
    x = 37,265,687.83/9,257.64
  6. Step 6: Final answer
    x = 4,025.40

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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.