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Finding the Fourth Proportional to 6,316.41, 9,466.50 and 3,024.57

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Solution

The fourth proportional to 6,316.41, 9,466.50 and 3,024.57 is: 4,532.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.41 : 9,466.50 = 3,024.57 : x
  2. Step 2: Convert to fraction form
    6,316.41/9,466.50 = 3,024.57/x
  3. Step 3: Cross multiply
    6,316.41x = 9,466.50 × 3,024.57
  4. Step 4: Simplify right side
    6,316.41x = 28,632,091.91
  5. Step 5: Solve for x
    x = 28,632,091.91/6,316.41
  6. Step 6: Final answer
    x = 4,532.97

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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.