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Finding the Fourth Proportional to 6,089.76, 9,135.20 and 2,803.76

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Solution

The fourth proportional to 6,089.76, 9,135.20 and 2,803.76 is: 4,205.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.76 : 9,135.20 = 2,803.76 : x
  2. Step 2: Convert to fraction form
    6,089.76/9,135.20 = 2,803.76/x
  3. Step 3: Cross multiply
    6,089.76x = 9,135.20 × 2,803.76
  4. Step 4: Simplify right side
    6,089.76x = 25,612,908.35
  5. Step 5: Solve for x
    x = 25,612,908.35/6,089.76
  6. Step 6: Final answer
    x = 4,205.90

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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.