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Finding the Fourth Proportional to 6,333.61, 9,488.12 and 3,049.01

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Solution

The fourth proportional to 6,333.61, 9,488.12 and 3,049.01 is: 4,567.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.61 : 9,488.12 = 3,049.01 : x
  2. Step 2: Convert to fraction form
    6,333.61/9,488.12 = 3,049.01/x
  3. Step 3: Cross multiply
    6,333.61x = 9,488.12 × 3,049.01
  4. Step 4: Simplify right side
    6,333.61x = 28,929,357.52
  5. Step 5: Solve for x
    x = 28,929,357.52/6,333.61
  6. Step 6: Final answer
    x = 4,567.59

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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.