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Finding the Fourth Proportional to 10,214.44, 15,327.72 and 9,566.52

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Solution

The fourth proportional to 10,214.44, 15,327.72 and 9,566.52 is: 14,355.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.44 : 15,327.72 = 9,566.52 : x
  2. Step 2: Convert to fraction form
    10,214.44/15,327.72 = 9,566.52/x
  3. Step 3: Cross multiply
    10,214.44x = 15,327.72 × 9,566.52
  4. Step 4: Simplify right side
    10,214.44x = 146,632,939.93
  5. Step 5: Solve for x
    x = 146,632,939.93/10,214.44
  6. Step 6: Final answer
    x = 14,355.46

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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.