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Finding the Fourth Proportional to 9,362.24, 14,045.24 and 3,815.52

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Solution

The fourth proportional to 9,362.24, 14,045.24 and 3,815.52 is: 5,724.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362.24 : 14,045.24 = 3,815.52 : x
  2. Step 2: Convert to fraction form
    9,362.24/14,045.24 = 3,815.52/x
  3. Step 3: Cross multiply
    9,362.24x = 14,045.24 × 3,815.52
  4. Step 4: Simplify right side
    9,362.24x = 53,589,894.12
  5. Step 5: Solve for x
    x = 53,589,894.12/9,362.24
  6. Step 6: Final answer
    x = 5,724.05

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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.