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Finding the Fourth Proportional to 9,214.43, 12,713.63 and 5,437.67

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Solution

The fourth proportional to 9,214.43, 12,713.63 and 5,437.67 is: 7,502.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.43 : 12,713.63 = 5,437.67 : x
  2. Step 2: Convert to fraction form
    9,214.43/12,713.63 = 5,437.67/x
  3. Step 3: Cross multiply
    9,214.43x = 12,713.63 × 5,437.67
  4. Step 4: Simplify right side
    9,214.43x = 69,132,433.69
  5. Step 5: Solve for x
    x = 69,132,433.69/9,214.43
  6. Step 6: Final answer
    x = 7,502.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.