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Finding the Fourth Proportional to 6,106.75, 9,154.23 and 2,407.75

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Solution

The fourth proportional to 6,106.75, 9,154.23 and 2,407.75 is: 3,609.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.75 : 9,154.23 = 2,407.75 : x
  2. Step 2: Convert to fraction form
    6,106.75/9,154.23 = 2,407.75/x
  3. Step 3: Cross multiply
    6,106.75x = 9,154.23 × 2,407.75
  4. Step 4: Simplify right side
    6,106.75x = 22,041,097.28
  5. Step 5: Solve for x
    x = 22,041,097.28/6,106.75
  6. Step 6: Final answer
    x = 3,609.30

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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.