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Finding the Fourth Proportional to 9,233.58, 13,862.67 and 7,855.77

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Solution

The fourth proportional to 9,233.58, 13,862.67 and 7,855.77 is: 11,794.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.58 : 13,862.67 = 7,855.77 : x
  2. Step 2: Convert to fraction form
    9,233.58/13,862.67 = 7,855.77/x
  3. Step 3: Cross multiply
    9,233.58x = 13,862.67 × 7,855.77
  4. Step 4: Simplify right side
    9,233.58x = 108,901,947.11
  5. Step 5: Solve for x
    x = 108,901,947.11/9,233.58
  6. Step 6: Final answer
    x = 11,794.12

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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.