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Finding the Fourth Proportional to 9,100.94, 13,653.79 and 2,860.70

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Solution

The fourth proportional to 9,100.94, 13,653.79 and 2,860.70 is: 4,291.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.94 : 13,653.79 = 2,860.70 : x
  2. Step 2: Convert to fraction form
    9,100.94/13,653.79 = 2,860.70/x
  3. Step 3: Cross multiply
    9,100.94x = 13,653.79 × 2,860.70
  4. Step 4: Simplify right side
    9,100.94x = 39,059,321.63
  5. Step 5: Solve for x
    x = 39,059,321.63/9,100.94
  6. Step 6: Final answer
    x = 4,291.79

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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.