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Finding the Fourth Proportional to 9,227.36, 13,815.12 and 7,652.72

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Solution

The fourth proportional to 9,227.36, 13,815.12 and 7,652.72 is: 11,457.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.36 : 13,815.12 = 7,652.72 : x
  2. Step 2: Convert to fraction form
    9,227.36/13,815.12 = 7,652.72/x
  3. Step 3: Cross multiply
    9,227.36x = 13,815.12 × 7,652.72
  4. Step 4: Simplify right side
    9,227.36x = 105,723,245.13
  5. Step 5: Solve for x
    x = 105,723,245.13/9,227.36
  6. Step 6: Final answer
    x = 11,457.58

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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.