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Finding the Fourth Proportional to 6,290.38, 9,433.14 and 3,001.78

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Solution

The fourth proportional to 6,290.38, 9,433.14 and 3,001.78 is: 4,501.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.38 : 9,433.14 = 3,001.78 : x
  2. Step 2: Convert to fraction form
    6,290.38/9,433.14 = 3,001.78/x
  3. Step 3: Cross multiply
    6,290.38x = 9,433.14 × 3,001.78
  4. Step 4: Simplify right side
    6,290.38x = 28,316,210.99
  5. Step 5: Solve for x
    x = 28,316,210.99/6,290.38
  6. Step 6: Final answer
    x = 4,501.51

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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.