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Finding the Fourth Proportional to 9,189.86, 13,787.35 and 2,950.22

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Solution

The fourth proportional to 9,189.86, 13,787.35 and 2,950.22 is: 4,426.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.86 : 13,787.35 = 2,950.22 : x
  2. Step 2: Convert to fraction form
    9,189.86/13,787.35 = 2,950.22/x
  3. Step 3: Cross multiply
    9,189.86x = 13,787.35 × 2,950.22
  4. Step 4: Simplify right side
    9,189.86x = 40,675,742.81
  5. Step 5: Solve for x
    x = 40,675,742.81/9,189.86
  6. Step 6: Final answer
    x = 4,426.16

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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.