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Finding the Fourth Proportional to 9,504.02, 14,256.04 and 2,578.52

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Solution

The fourth proportional to 9,504.02, 14,256.04 and 2,578.52 is: 3,867.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,504.02 : 14,256.04 = 2,578.52 : x
  2. Step 2: Convert to fraction form
    9,504.02/14,256.04 = 2,578.52/x
  3. Step 3: Cross multiply
    9,504.02x = 14,256.04 × 2,578.52
  4. Step 4: Simplify right side
    9,504.02x = 36,759,477.81
  5. Step 5: Solve for x
    x = 36,759,477.81/9,504.02
  6. Step 6: Final answer
    x = 3,867.78

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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.