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Finding the Fourth Proportional to 9,424.71, 14,133.47 and 3,098.12

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Solution

The fourth proportional to 9,424.71, 14,133.47 and 3,098.12 is: 4,645.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.71 : 14,133.47 = 3,098.12 : x
  2. Step 2: Convert to fraction form
    9,424.71/14,133.47 = 3,098.12/x
  3. Step 3: Cross multiply
    9,424.71x = 14,133.47 × 3,098.12
  4. Step 4: Simplify right side
    9,424.71x = 43,787,099.92
  5. Step 5: Solve for x
    x = 43,787,099.92/9,424.71
  6. Step 6: Final answer
    x = 4,645.99

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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.