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Finding the Fourth Proportional to 9,911.72, 14,867.58 and 2,986.22

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Solution

The fourth proportional to 9,911.72, 14,867.58 and 2,986.22 is: 4,479.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.72 : 14,867.58 = 2,986.22 : x
  2. Step 2: Convert to fraction form
    9,911.72/14,867.58 = 2,986.22/x
  3. Step 3: Cross multiply
    9,911.72x = 14,867.58 × 2,986.22
  4. Step 4: Simplify right side
    9,911.72x = 44,397,790.41
  5. Step 5: Solve for x
    x = 44,397,790.41/9,911.72
  6. Step 6: Final answer
    x = 4,479.32

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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.