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Finding the Fourth Proportional to 9,777.95, 14,674.22 and 3,934.61

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Solution

The fourth proportional to 9,777.95, 14,674.22 and 3,934.61 is: 5,904.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.95 : 14,674.22 = 3,934.61 : x
  2. Step 2: Convert to fraction form
    9,777.95/14,674.22 = 3,934.61/x
  3. Step 3: Cross multiply
    9,777.95x = 14,674.22 × 3,934.61
  4. Step 4: Simplify right side
    9,777.95x = 57,737,313.08
  5. Step 5: Solve for x
    x = 57,737,313.08/9,777.95
  6. Step 6: Final answer
    x = 5,904.85

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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.