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Finding the Fourth Proportional to 6,143.52, 9,206.88 and 3,366.08

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Solution

The fourth proportional to 6,143.52, 9,206.88 and 3,366.08 is: 5,044.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.52 : 9,206.88 = 3,366.08 : x
  2. Step 2: Convert to fraction form
    6,143.52/9,206.88 = 3,366.08/x
  3. Step 3: Cross multiply
    6,143.52x = 9,206.88 × 3,366.08
  4. Step 4: Simplify right side
    6,143.52x = 30,991,094.63
  5. Step 5: Solve for x
    x = 30,991,094.63/6,143.52
  6. Step 6: Final answer
    x = 5,044.52

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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.