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Finding the Fourth Proportional to 8,449.40, 12,674.10 and 7,009.40

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Solution

The fourth proportional to 8,449.40, 12,674.10 and 7,009.40 is: 10,514.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.40 : 12,674.10 = 7,009.40 : x
  2. Step 2: Convert to fraction form
    8,449.40/12,674.10 = 7,009.40/x
  3. Step 3: Cross multiply
    8,449.40x = 12,674.10 × 7,009.40
  4. Step 4: Simplify right side
    8,449.40x = 88,837,836.54
  5. Step 5: Solve for x
    x = 88,837,836.54/8,449.40
  6. Step 6: Final answer
    x = 10,514.10

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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.