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Finding the Fourth Proportional to 6,407.85, 9,612.66 and 2,023.80

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Solution

The fourth proportional to 6,407.85, 9,612.66 and 2,023.80 is: 3,035.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.85 : 9,612.66 = 2,023.80 : x
  2. Step 2: Convert to fraction form
    6,407.85/9,612.66 = 2,023.80/x
  3. Step 3: Cross multiply
    6,407.85x = 9,612.66 × 2,023.80
  4. Step 4: Simplify right side
    6,407.85x = 19,454,101.31
  5. Step 5: Solve for x
    x = 19,454,101.31/6,407.85
  6. Step 6: Final answer
    x = 3,035.98

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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.