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Finding the Fourth Proportional to 9,716.51, 14,575.04 and 3,793.16

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Solution

The fourth proportional to 9,716.51, 14,575.04 and 3,793.16 is: 5,689.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.51 : 14,575.04 = 3,793.16 : x
  2. Step 2: Convert to fraction form
    9,716.51/14,575.04 = 3,793.16/x
  3. Step 3: Cross multiply
    9,716.51x = 14,575.04 × 3,793.16
  4. Step 4: Simplify right side
    9,716.51x = 55,285,458.73
  5. Step 5: Solve for x
    x = 55,285,458.73/9,716.51
  6. Step 6: Final answer
    x = 5,689.85

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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.