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Finding the Fourth Proportional to 9,228.24, 13,842.36 and 7,310.16

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Solution

The fourth proportional to 9,228.24, 13,842.36 and 7,310.16 is: 10,965.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.24 : 13,842.36 = 7,310.16 : x
  2. Step 2: Convert to fraction form
    9,228.24/13,842.36 = 7,310.16/x
  3. Step 3: Cross multiply
    9,228.24x = 13,842.36 × 7,310.16
  4. Step 4: Simplify right side
    9,228.24x = 101,189,866.38
  5. Step 5: Solve for x
    x = 101,189,866.38/9,228.24
  6. Step 6: Final answer
    x = 10,965.24

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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.