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Finding the Fourth Proportional to 9,225.70, 12,727.80 and 5,682.76

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Solution

The fourth proportional to 9,225.70, 12,727.80 and 5,682.76 is: 7,839.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.70 : 12,727.80 = 5,682.76 : x
  2. Step 2: Convert to fraction form
    9,225.70/12,727.80 = 5,682.76/x
  3. Step 3: Cross multiply
    9,225.70x = 12,727.80 × 5,682.76
  4. Step 4: Simplify right side
    9,225.70x = 72,329,032.73
  5. Step 5: Solve for x
    x = 72,329,032.73/9,225.70
  6. Step 6: Final answer
    x = 7,839.95

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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.