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Finding the Fourth Proportional to 9,065.75, 13,585.67 and 5,162.09

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Solution

The fourth proportional to 9,065.75, 13,585.67 and 5,162.09 is: 7,735.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,065.75 : 13,585.67 = 5,162.09 : x
  2. Step 2: Convert to fraction form
    9,065.75/13,585.67 = 5,162.09/x
  3. Step 3: Cross multiply
    9,065.75x = 13,585.67 × 5,162.09
  4. Step 4: Simplify right side
    9,065.75x = 70,130,459.40
  5. Step 5: Solve for x
    x = 70,130,459.40/9,065.75
  6. Step 6: Final answer
    x = 7,735.76

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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.