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Finding the Fourth Proportional to 9,261.53, 13,894.46 and 2,687.84

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Solution

The fourth proportional to 9,261.53, 13,894.46 and 2,687.84 is: 4,032.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.53 : 13,894.46 = 2,687.84 : x
  2. Step 2: Convert to fraction form
    9,261.53/13,894.46 = 2,687.84/x
  3. Step 3: Cross multiply
    9,261.53x = 13,894.46 × 2,687.84
  4. Step 4: Simplify right side
    9,261.53x = 37,346,002.45
  5. Step 5: Solve for x
    x = 37,346,002.45/9,261.53
  6. Step 6: Final answer
    x = 4,032.38

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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.