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Finding the Fourth Proportional to 9,499.68, 13,109.58 and 5,251.05

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Solution

The fourth proportional to 9,499.68, 13,109.58 and 5,251.05 is: 7,246.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.68 : 13,109.58 = 5,251.05 : x
  2. Step 2: Convert to fraction form
    9,499.68/13,109.58 = 5,251.05/x
  3. Step 3: Cross multiply
    9,499.68x = 13,109.58 × 5,251.05
  4. Step 4: Simplify right side
    9,499.68x = 68,839,060.06
  5. Step 5: Solve for x
    x = 68,839,060.06/9,499.68
  6. Step 6: Final answer
    x = 7,246.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.