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Finding the Fourth Proportional to 6,095.20, 9,141.90 and 1,713.10

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Solution

The fourth proportional to 6,095.20, 9,141.90 and 1,713.10 is: 2,569.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.20 : 9,141.90 = 1,713.10 : x
  2. Step 2: Convert to fraction form
    6,095.20/9,141.90 = 1,713.10/x
  3. Step 3: Cross multiply
    6,095.20x = 9,141.90 × 1,713.10
  4. Step 4: Simplify right side
    6,095.20x = 15,660,988.89
  5. Step 5: Solve for x
    x = 15,660,988.89/6,095.20
  6. Step 6: Final answer
    x = 2,569.40

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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.