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Finding the Fourth Proportional to 6,430.44, 9,636.30 and 3,139.80

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Solution

The fourth proportional to 6,430.44, 9,636.30 and 3,139.80 is: 4,705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.44 : 9,636.30 = 3,139.80 : x
  2. Step 2: Convert to fraction form
    6,430.44/9,636.30 = 3,139.80/x
  3. Step 3: Cross multiply
    6,430.44x = 9,636.30 × 3,139.80
  4. Step 4: Simplify right side
    6,430.44x = 30,256,054.74
  5. Step 5: Solve for x
    x = 30,256,054.74/6,430.44
  6. Step 6: Final answer
    x = 4,705.13

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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.