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Finding the Fourth Proportional to 6,316.74, 9,472.23 and 3,031.38

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Solution

The fourth proportional to 6,316.74, 9,472.23 and 3,031.38 is: 4,545.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.74 : 9,472.23 = 3,031.38 : x
  2. Step 2: Convert to fraction form
    6,316.74/9,472.23 = 3,031.38/x
  3. Step 3: Cross multiply
    6,316.74x = 9,472.23 × 3,031.38
  4. Step 4: Simplify right side
    6,316.74x = 28,713,928.58
  5. Step 5: Solve for x
    x = 28,713,928.58/6,316.74
  6. Step 6: Final answer
    x = 4,545.69

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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.