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Finding the Fourth Proportional to 6,685.40, 9,225.90 and 3,701.43

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Solution

The fourth proportional to 6,685.40, 9,225.90 and 3,701.43 is: 5,108.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.40 : 9,225.90 = 3,701.43 : x
  2. Step 2: Convert to fraction form
    6,685.40/9,225.90 = 3,701.43/x
  3. Step 3: Cross multiply
    6,685.40x = 9,225.90 × 3,701.43
  4. Step 4: Simplify right side
    6,685.40x = 34,149,023.04
  5. Step 5: Solve for x
    x = 34,149,023.04/6,685.40
  6. Step 6: Final answer
    x = 5,108.00

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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.