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Finding the Fourth Proportional to 9,669.75, 14,479.41 and 5,278.14

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Solution

The fourth proportional to 9,669.75, 14,479.41 and 5,278.14 is: 7,903.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669.75 : 14,479.41 = 5,278.14 : x
  2. Step 2: Convert to fraction form
    9,669.75/14,479.41 = 5,278.14/x
  3. Step 3: Cross multiply
    9,669.75x = 14,479.41 × 5,278.14
  4. Step 4: Simplify right side
    9,669.75x = 76,424,353.10
  5. Step 5: Solve for x
    x = 76,424,353.10/9,669.75
  6. Step 6: Final answer
    x = 7,903.45

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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.