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Finding the Fourth Proportional to 6,293.48, 9,442.04 and 3,006.63

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Solution

The fourth proportional to 6,293.48, 9,442.04 and 3,006.63 is: 4,510.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.48 : 9,442.04 = 3,006.63 : x
  2. Step 2: Convert to fraction form
    6,293.48/9,442.04 = 3,006.63/x
  3. Step 3: Cross multiply
    6,293.48x = 9,442.04 × 3,006.63
  4. Step 4: Simplify right side
    6,293.48x = 28,388,705.69
  5. Step 5: Solve for x
    x = 28,388,705.69/6,293.48
  6. Step 6: Final answer
    x = 4,510.82

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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.