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Finding the Fourth Proportional to 9,812.67, 14,704.70 and 4,549.29

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Solution

The fourth proportional to 9,812.67, 14,704.70 and 4,549.29 is: 6,817.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.67 : 14,704.70 = 4,549.29 : x
  2. Step 2: Convert to fraction form
    9,812.67/14,704.70 = 4,549.29/x
  3. Step 3: Cross multiply
    9,812.67x = 14,704.70 × 4,549.29
  4. Step 4: Simplify right side
    9,812.67x = 66,895,921.92
  5. Step 5: Solve for x
    x = 66,895,921.92/9,812.67
  6. Step 6: Final answer
    x = 6,817.30

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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.