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Finding the Fourth Proportional to 8,430.44, 12,645.70 and 3,432.91

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Solution

The fourth proportional to 8,430.44, 12,645.70 and 3,432.91 is: 5,149.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.44 : 12,645.70 = 3,432.91 : x
  2. Step 2: Convert to fraction form
    8,430.44/12,645.70 = 3,432.91/x
  3. Step 3: Cross multiply
    8,430.44x = 12,645.70 × 3,432.91
  4. Step 4: Simplify right side
    8,430.44x = 43,411,486.76
  5. Step 5: Solve for x
    x = 43,411,486.76/8,430.44
  6. Step 6: Final answer
    x = 5,149.38

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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.