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Finding the Fourth Proportional to 6,302.67, 9,454.02 and 2,142.51

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Solution

The fourth proportional to 6,302.67, 9,454.02 and 2,142.51 is: 3,213.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.67 : 9,454.02 = 2,142.51 : x
  2. Step 2: Convert to fraction form
    6,302.67/9,454.02 = 2,142.51/x
  3. Step 3: Cross multiply
    6,302.67x = 9,454.02 × 2,142.51
  4. Step 4: Simplify right side
    6,302.67x = 20,255,332.39
  5. Step 5: Solve for x
    x = 20,255,332.39/6,302.67
  6. Step 6: Final answer
    x = 3,213.77

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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.