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Finding the Fourth Proportional to 9,109.39, 13,666.02 and 5,162.54

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Solution

The fourth proportional to 9,109.39, 13,666.02 and 5,162.54 is: 7,744.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.39 : 13,666.02 = 5,162.54 : x
  2. Step 2: Convert to fraction form
    9,109.39/13,666.02 = 5,162.54/x
  3. Step 3: Cross multiply
    9,109.39x = 13,666.02 × 5,162.54
  4. Step 4: Simplify right side
    9,109.39x = 70,551,374.89
  5. Step 5: Solve for x
    x = 70,551,374.89/9,109.39
  6. Step 6: Final answer
    x = 7,744.91

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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.