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Finding the Fourth Proportional to 6,139.92, 9,206.52 and 2,675.28

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Solution

The fourth proportional to 6,139.92, 9,206.52 and 2,675.28 is: 4,011.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.92 : 9,206.52 = 2,675.28 : x
  2. Step 2: Convert to fraction form
    6,139.92/9,206.52 = 2,675.28/x
  3. Step 3: Cross multiply
    6,139.92x = 9,206.52 × 2,675.28
  4. Step 4: Simplify right side
    6,139.92x = 24,630,018.83
  5. Step 5: Solve for x
    x = 24,630,018.83/6,139.92
  6. Step 6: Final answer
    x = 4,011.46

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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.