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Finding the Fourth Proportional to 6,461.16, 9,697.80 and 3,176.62

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Solution

The fourth proportional to 6,461.16, 9,697.80 and 3,176.62 is: 4,767.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.16 : 9,697.80 = 3,176.62 : x
  2. Step 2: Convert to fraction form
    6,461.16/9,697.80 = 3,176.62/x
  3. Step 3: Cross multiply
    6,461.16x = 9,697.80 × 3,176.62
  4. Step 4: Simplify right side
    6,461.16x = 30,806,225.44
  5. Step 5: Solve for x
    x = 30,806,225.44/6,461.16
  6. Step 6: Final answer
    x = 4,767.91

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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.