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Finding the Fourth Proportional to 6,333.42, 9,502.11 and 4,488.15

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Solution

The fourth proportional to 6,333.42, 9,502.11 and 4,488.15 is: 6,733.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.42 : 9,502.11 = 4,488.15 : x
  2. Step 2: Convert to fraction form
    6,333.42/9,502.11 = 4,488.15/x
  3. Step 3: Cross multiply
    6,333.42x = 9,502.11 × 4,488.15
  4. Step 4: Simplify right side
    6,333.42x = 42,646,895.00
  5. Step 5: Solve for x
    x = 42,646,895.00/6,333.42
  6. Step 6: Final answer
    x = 6,733.63

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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.