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Finding the Fourth Proportional to 9,441.76, 14,162.24 and 2,421.72

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Solution

The fourth proportional to 9,441.76, 14,162.24 and 2,421.72 is: 3,632.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441.76 : 14,162.24 = 2,421.72 : x
  2. Step 2: Convert to fraction form
    9,441.76/14,162.24 = 2,421.72/x
  3. Step 3: Cross multiply
    9,441.76x = 14,162.24 × 2,421.72
  4. Step 4: Simplify right side
    9,441.76x = 34,296,979.85
  5. Step 5: Solve for x
    x = 34,296,979.85/9,441.76
  6. Step 6: Final answer
    x = 3,632.48

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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.