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Finding the Fourth Proportional to 9,499.74, 14,251.44 and 3,950.10

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Solution

The fourth proportional to 9,499.74, 14,251.44 and 3,950.10 is: 5,925.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.74 : 14,251.44 = 3,950.10 : x
  2. Step 2: Convert to fraction form
    9,499.74/14,251.44 = 3,950.10/x
  3. Step 3: Cross multiply
    9,499.74x = 14,251.44 × 3,950.10
  4. Step 4: Simplify right side
    9,499.74x = 56,294,613.14
  5. Step 5: Solve for x
    x = 56,294,613.14/9,499.74
  6. Step 6: Final answer
    x = 5,925.91

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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.