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Finding the Fourth Proportional to 6,306.46, 9,461.85 and 2,411.98

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Solution

The fourth proportional to 6,306.46, 9,461.85 and 2,411.98 is: 3,618.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.46 : 9,461.85 = 2,411.98 : x
  2. Step 2: Convert to fraction form
    6,306.46/9,461.85 = 2,411.98/x
  3. Step 3: Cross multiply
    6,306.46x = 9,461.85 × 2,411.98
  4. Step 4: Simplify right side
    6,306.46x = 22,821,792.96
  5. Step 5: Solve for x
    x = 22,821,792.96/6,306.46
  6. Step 6: Final answer
    x = 3,618.80

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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.