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Finding the Fourth Proportional to 9,212.64, 13,818.80 and 2,287.14

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Solution

The fourth proportional to 9,212.64, 13,818.80 and 2,287.14 is: 3,430.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.64 : 13,818.80 = 2,287.14 : x
  2. Step 2: Convert to fraction form
    9,212.64/13,818.80 = 2,287.14/x
  3. Step 3: Cross multiply
    9,212.64x = 13,818.80 × 2,287.14
  4. Step 4: Simplify right side
    9,212.64x = 31,605,530.23
  5. Step 5: Solve for x
    x = 31,605,530.23/9,212.64
  6. Step 6: Final answer
    x = 3,430.67

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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.