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Finding the Fourth Proportional to 9,035.62, 13,552.06 and 2,462.33

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Solution

The fourth proportional to 9,035.62, 13,552.06 and 2,462.33 is: 3,693.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,035.62 : 13,552.06 = 2,462.33 : x
  2. Step 2: Convert to fraction form
    9,035.62/13,552.06 = 2,462.33/x
  3. Step 3: Cross multiply
    9,035.62x = 13,552.06 × 2,462.33
  4. Step 4: Simplify right side
    9,035.62x = 33,369,643.90
  5. Step 5: Solve for x
    x = 33,369,643.90/9,035.62
  6. Step 6: Final answer
    x = 3,693.12

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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.