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Finding the Fourth Proportional to 6,411.64, 9,610.28 and 4,194.74

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Solution

The fourth proportional to 6,411.64, 9,610.28 and 4,194.74 is: 6,287.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.64 : 9,610.28 = 4,194.74 : x
  2. Step 2: Convert to fraction form
    6,411.64/9,610.28 = 4,194.74/x
  3. Step 3: Cross multiply
    6,411.64x = 9,610.28 × 4,194.74
  4. Step 4: Simplify right side
    6,411.64x = 40,312,556.90
  5. Step 5: Solve for x
    x = 40,312,556.90/6,411.64
  6. Step 6: Final answer
    x = 6,287.40

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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.