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Finding the Fourth Proportional to 6,148.71, 9,209.97 and 3,218.13

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Solution

The fourth proportional to 6,148.71, 9,209.97 and 3,218.13 is: 4,820.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.71 : 9,209.97 = 3,218.13 : x
  2. Step 2: Convert to fraction form
    6,148.71/9,209.97 = 3,218.13/x
  3. Step 3: Cross multiply
    6,148.71x = 9,209.97 × 3,218.13
  4. Step 4: Simplify right side
    6,148.71x = 29,638,880.76
  5. Step 5: Solve for x
    x = 29,638,880.76/6,148.71
  6. Step 6: Final answer
    x = 4,820.34

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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.