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Finding the Fourth Proportional to 9,150.90, 13,713.99 and 6,674.10

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Solution

The fourth proportional to 9,150.90, 13,713.99 and 6,674.10 is: 10,002.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,150.90 : 13,713.99 = 6,674.10 : x
  2. Step 2: Convert to fraction form
    9,150.90/13,713.99 = 6,674.10/x
  3. Step 3: Cross multiply
    9,150.90x = 13,713.99 × 6,674.10
  4. Step 4: Simplify right side
    9,150.90x = 91,528,540.66
  5. Step 5: Solve for x
    x = 91,528,540.66/9,150.90
  6. Step 6: Final answer
    x = 10,002.14

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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.