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Finding the Fourth Proportional to 9,812.74, 14,717.49 and 3,239.02

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Solution

The fourth proportional to 9,812.74, 14,717.49 and 3,239.02 is: 4,858.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.74 : 14,717.49 = 3,239.02 : x
  2. Step 2: Convert to fraction form
    9,812.74/14,717.49 = 3,239.02/x
  3. Step 3: Cross multiply
    9,812.74x = 14,717.49 × 3,239.02
  4. Step 4: Simplify right side
    9,812.74x = 47,670,244.46
  5. Step 5: Solve for x
    x = 47,670,244.46/9,812.74
  6. Step 6: Final answer
    x = 4,858.00

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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.