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Finding the Fourth Proportional to 9,458.24, 14,177.84 and 5,950.77

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Solution

The fourth proportional to 9,458.24, 14,177.84 and 5,950.77 is: 8,920.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.24 : 14,177.84 = 5,950.77 : x
  2. Step 2: Convert to fraction form
    9,458.24/14,177.84 = 5,950.77/x
  3. Step 3: Cross multiply
    9,458.24x = 14,177.84 × 5,950.77
  4. Step 4: Simplify right side
    9,458.24x = 84,368,982.02
  5. Step 5: Solve for x
    x = 84,368,982.02/9,458.24
  6. Step 6: Final answer
    x = 8,920.15

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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.