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Finding the Fourth Proportional to 9,292.73, 12,825.36 and 5,937.77

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Solution

The fourth proportional to 9,292.73, 12,825.36 and 5,937.77 is: 8,195.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.73 : 12,825.36 = 5,937.77 : x
  2. Step 2: Convert to fraction form
    9,292.73/12,825.36 = 5,937.77/x
  3. Step 3: Cross multiply
    9,292.73x = 12,825.36 × 5,937.77
  4. Step 4: Simplify right side
    9,292.73x = 76,154,069.91
  5. Step 5: Solve for x
    x = 76,154,069.91/9,292.73
  6. Step 6: Final answer
    x = 8,195.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.