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Finding the Fourth Proportional to 9,862.58, 14,794 and 3,288.77

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Solution

The fourth proportional to 9,862.58, 14,794 and 3,288.77 is: 4,933.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.58 : 14,794 = 3,288.77 : x
  2. Step 2: Convert to fraction form
    9,862.58/14,794 = 3,288.77/x
  3. Step 3: Cross multiply
    9,862.58x = 14,794 × 3,288.77
  4. Step 4: Simplify right side
    9,862.58x = 48,654,063.38
  5. Step 5: Solve for x
    x = 48,654,063.38/9,862.58
  6. Step 6: Final answer
    x = 4,933.20

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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.