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Finding the Fourth Proportional to 9,153.77, 13,729.01 and 2,578.37

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Solution

The fourth proportional to 9,153.77, 13,729.01 and 2,578.37 is: 3,867.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.77 : 13,729.01 = 2,578.37 : x
  2. Step 2: Convert to fraction form
    9,153.77/13,729.01 = 2,578.37/x
  3. Step 3: Cross multiply
    9,153.77x = 13,729.01 × 2,578.37
  4. Step 4: Simplify right side
    9,153.77x = 35,398,385.98
  5. Step 5: Solve for x
    x = 35,398,385.98/9,153.77
  6. Step 6: Final answer
    x = 3,867.08

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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.