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Finding the Fourth Proportional to 6,265.84, 9,387.03 and 3,142.19

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Solution

The fourth proportional to 6,265.84, 9,387.03 and 3,142.19 is: 4,707.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.84 : 9,387.03 = 3,142.19 : x
  2. Step 2: Convert to fraction form
    6,265.84/9,387.03 = 3,142.19/x
  3. Step 3: Cross multiply
    6,265.84x = 9,387.03 × 3,142.19
  4. Step 4: Simplify right side
    6,265.84x = 29,495,831.80
  5. Step 5: Solve for x
    x = 29,495,831.80/6,265.84
  6. Step 6: Final answer
    x = 4,707.40

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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.