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Finding the Fourth Proportional to 6,292.68, 9,433.12 and 2,129.77

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Solution

The fourth proportional to 6,292.68, 9,433.12 and 2,129.77 is: 3,192.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.68 : 9,433.12 = 2,129.77 : x
  2. Step 2: Convert to fraction form
    6,292.68/9,433.12 = 2,129.77/x
  3. Step 3: Cross multiply
    6,292.68x = 9,433.12 × 2,129.77
  4. Step 4: Simplify right side
    6,292.68x = 20,090,402.23
  5. Step 5: Solve for x
    x = 20,090,402.23/6,292.68
  6. Step 6: Final answer
    x = 3,192.66

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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.