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Finding the Fourth Proportional to 6,324.68, 9,478.86 and 3,030.92

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Solution

The fourth proportional to 6,324.68, 9,478.86 and 3,030.92 is: 4,542.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.68 : 9,478.86 = 3,030.92 : x
  2. Step 2: Convert to fraction form
    6,324.68/9,478.86 = 3,030.92/x
  3. Step 3: Cross multiply
    6,324.68x = 9,478.86 × 3,030.92
  4. Step 4: Simplify right side
    6,324.68x = 28,729,666.35
  5. Step 5: Solve for x
    x = 28,729,666.35/6,324.68
  6. Step 6: Final answer
    x = 4,542.47

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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.