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Finding the Fourth Proportional to 6,107.48, 9,164.98 and 2,409.08

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Solution

The fourth proportional to 6,107.48, 9,164.98 and 2,409.08 is: 3,615.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.48 : 9,164.98 = 2,409.08 : x
  2. Step 2: Convert to fraction form
    6,107.48/9,164.98 = 2,409.08/x
  3. Step 3: Cross multiply
    6,107.48x = 9,164.98 × 2,409.08
  4. Step 4: Simplify right side
    6,107.48x = 22,079,170.02
  5. Step 5: Solve for x
    x = 22,079,170.02/6,107.48
  6. Step 6: Final answer
    x = 3,615.10

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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.