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Finding the Fourth Proportional to 9,100.86, 13,651.37 and 2,860.74

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Solution

The fourth proportional to 9,100.86, 13,651.37 and 2,860.74 is: 4,291.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.86 : 13,651.37 = 2,860.74 : x
  2. Step 2: Convert to fraction form
    9,100.86/13,651.37 = 2,860.74/x
  3. Step 3: Cross multiply
    9,100.86x = 13,651.37 × 2,860.74
  4. Step 4: Simplify right side
    9,100.86x = 39,053,005.91
  5. Step 5: Solve for x
    x = 39,053,005.91/9,100.86
  6. Step 6: Final answer
    x = 4,291.13

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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.