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Finding the Fourth Proportional to 9,109.13, 13,662.15 and 2,535.98

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Solution

The fourth proportional to 9,109.13, 13,662.15 and 2,535.98 is: 3,803.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.13 : 13,662.15 = 2,535.98 : x
  2. Step 2: Convert to fraction form
    9,109.13/13,662.15 = 2,535.98/x
  3. Step 3: Cross multiply
    9,109.13x = 13,662.15 × 2,535.98
  4. Step 4: Simplify right side
    9,109.13x = 34,646,870.85
  5. Step 5: Solve for x
    x = 34,646,870.85/9,109.13
  6. Step 6: Final answer
    x = 3,803.53

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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.