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Finding the Fourth Proportional to 9,050.77, 13,578.30 and 3,782.85

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Solution

The fourth proportional to 9,050.77, 13,578.30 and 3,782.85 is: 5,675.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,050.77 : 13,578.30 = 3,782.85 : x
  2. Step 2: Convert to fraction form
    9,050.77/13,578.30 = 3,782.85/x
  3. Step 3: Cross multiply
    9,050.77x = 13,578.30 × 3,782.85
  4. Step 4: Simplify right side
    9,050.77x = 51,364,672.16
  5. Step 5: Solve for x
    x = 51,364,672.16/9,050.77
  6. Step 6: Final answer
    x = 5,675.17

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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.