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Finding the Fourth Proportional to 9,497.33, 14,246.80 and 2,478.27

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Solution

The fourth proportional to 9,497.33, 14,246.80 and 2,478.27 is: 3,717.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.33 : 14,246.80 = 2,478.27 : x
  2. Step 2: Convert to fraction form
    9,497.33/14,246.80 = 2,478.27/x
  3. Step 3: Cross multiply
    9,497.33x = 14,246.80 × 2,478.27
  4. Step 4: Simplify right side
    9,497.33x = 35,307,410.84
  5. Step 5: Solve for x
    x = 35,307,410.84/9,497.33
  6. Step 6: Final answer
    x = 3,717.62

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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.