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Finding the Fourth Proportional to 6,281.88, 9,422.80 and 3,683.40

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Solution

The fourth proportional to 6,281.88, 9,422.80 and 3,683.40 is: 5,525.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.88 : 9,422.80 = 3,683.40 : x
  2. Step 2: Convert to fraction form
    6,281.88/9,422.80 = 3,683.40/x
  3. Step 3: Cross multiply
    6,281.88x = 9,422.80 × 3,683.40
  4. Step 4: Simplify right side
    6,281.88x = 34,707,941.52
  5. Step 5: Solve for x
    x = 34,707,941.52/6,281.88
  6. Step 6: Final answer
    x = 5,525.09

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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.