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Finding the Fourth Proportional to 8,430.22, 12,638.19 and 3,496.78

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Solution

The fourth proportional to 8,430.22, 12,638.19 and 3,496.78 is: 5,242.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.22 : 12,638.19 = 3,496.78 : x
  2. Step 2: Convert to fraction form
    8,430.22/12,638.19 = 3,496.78/x
  3. Step 3: Cross multiply
    8,430.22x = 12,638.19 × 3,496.78
  4. Step 4: Simplify right side
    8,430.22x = 44,192,970.03
  5. Step 5: Solve for x
    x = 44,192,970.03/8,430.22
  6. Step 6: Final answer
    x = 5,242.21

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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.