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Finding the Fourth Proportional to 9,307.72, 12,839.84 and 5,764.78

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Solution

The fourth proportional to 9,307.72, 12,839.84 and 5,764.78 is: 7,952.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.72 : 12,839.84 = 5,764.78 : x
  2. Step 2: Convert to fraction form
    9,307.72/12,839.84 = 5,764.78/x
  3. Step 3: Cross multiply
    9,307.72x = 12,839.84 × 5,764.78
  4. Step 4: Simplify right side
    9,307.72x = 74,018,791.91
  5. Step 5: Solve for x
    x = 74,018,791.91/9,307.72
  6. Step 6: Final answer
    x = 7,952.41

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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.