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Finding the Fourth Proportional to 9,777.27, 14,668.35 and 3,934.35

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Solution

The fourth proportional to 9,777.27, 14,668.35 and 3,934.35 is: 5,902.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.27 : 14,668.35 = 3,934.35 : x
  2. Step 2: Convert to fraction form
    9,777.27/14,668.35 = 3,934.35/x
  3. Step 3: Cross multiply
    9,777.27x = 14,668.35 × 3,934.35
  4. Step 4: Simplify right side
    9,777.27x = 57,710,422.82
  5. Step 5: Solve for x
    x = 57,710,422.82/9,777.27
  6. Step 6: Final answer
    x = 5,902.51

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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.