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Finding the Fourth Proportional to 9,578.02, 14,367.04 and 3,004.78

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Solution

The fourth proportional to 9,578.02, 14,367.04 and 3,004.78 is: 4,507.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.02 : 14,367.04 = 3,004.78 : x
  2. Step 2: Convert to fraction form
    9,578.02/14,367.04 = 3,004.78/x
  3. Step 3: Cross multiply
    9,578.02x = 14,367.04 × 3,004.78
  4. Step 4: Simplify right side
    9,578.02x = 43,169,794.45
  5. Step 5: Solve for x
    x = 43,169,794.45/9,578.02
  6. Step 6: Final answer
    x = 4,507.17

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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.