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Finding the Fourth Proportional to 8,400.40, 12,606.30 and 3,470.02

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Solution

The fourth proportional to 8,400.40, 12,606.30 and 3,470.02 is: 5,207.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.40 : 12,606.30 = 3,470.02 : x
  2. Step 2: Convert to fraction form
    8,400.40/12,606.30 = 3,470.02/x
  3. Step 3: Cross multiply
    8,400.40x = 12,606.30 × 3,470.02
  4. Step 4: Simplify right side
    8,400.40x = 43,744,113.13
  5. Step 5: Solve for x
    x = 43,744,113.13/8,400.40
  6. Step 6: Final answer
    x = 5,207.38

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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.