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Finding the Fourth Proportional to 9,077.58, 13,616.64 and 2,504.25

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Solution

The fourth proportional to 9,077.58, 13,616.64 and 2,504.25 is: 3,756.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.58 : 13,616.64 = 2,504.25 : x
  2. Step 2: Convert to fraction form
    9,077.58/13,616.64 = 2,504.25/x
  3. Step 3: Cross multiply
    9,077.58x = 13,616.64 × 2,504.25
  4. Step 4: Simplify right side
    9,077.58x = 34,099,470.72
  5. Step 5: Solve for x
    x = 34,099,470.72/9,077.58
  6. Step 6: Final answer
    x = 3,756.45

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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.