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Finding the Fourth Proportional to 6,430.63, 9,639.11 and 3,096.80

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Solution

The fourth proportional to 6,430.63, 9,639.11 and 3,096.80 is: 4,641.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.63 : 9,639.11 = 3,096.80 : x
  2. Step 2: Convert to fraction form
    6,430.63/9,639.11 = 3,096.80/x
  3. Step 3: Cross multiply
    6,430.63x = 9,639.11 × 3,096.80
  4. Step 4: Simplify right side
    6,430.63x = 29,850,364.01
  5. Step 5: Solve for x
    x = 29,850,364.01/6,430.63
  6. Step 6: Final answer
    x = 4,641.91

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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.