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Finding the Fourth Proportional to 9,812.68, 14,704.68 and 4,549.30

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Solution

The fourth proportional to 9,812.68, 14,704.68 and 4,549.30 is: 6,817.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.68 : 14,704.68 = 4,549.30 : x
  2. Step 2: Convert to fraction form
    9,812.68/14,704.68 = 4,549.30/x
  3. Step 3: Cross multiply
    9,812.68x = 14,704.68 × 4,549.30
  4. Step 4: Simplify right side
    9,812.68x = 66,896,000.72
  5. Step 5: Solve for x
    x = 66,896,000.72/9,812.68
  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.