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Finding the Fourth Proportional to 9,950.86, 14,924.64 and 3,709.22

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Solution

The fourth proportional to 9,950.86, 14,924.64 and 3,709.22 is: 5,563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.86 : 14,924.64 = 3,709.22 : x
  2. Step 2: Convert to fraction form
    9,950.86/14,924.64 = 3,709.22/x
  3. Step 3: Cross multiply
    9,950.86x = 14,924.64 × 3,709.22
  4. Step 4: Simplify right side
    9,950.86x = 55,358,749.23
  5. Step 5: Solve for x
    x = 55,358,749.23/9,950.86
  6. Step 6: Final answer
    x = 5,563.21

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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.