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Finding the Fourth Proportional to 9,422.63, 14,147.81 and 5,270.76

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Solution

The fourth proportional to 9,422.63, 14,147.81 and 5,270.76 is: 7,913.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.63 : 14,147.81 = 5,270.76 : x
  2. Step 2: Convert to fraction form
    9,422.63/14,147.81 = 5,270.76/x
  3. Step 3: Cross multiply
    9,422.63x = 14,147.81 × 5,270.76
  4. Step 4: Simplify right side
    9,422.63x = 74,569,684.68
  5. Step 5: Solve for x
    x = 74,569,684.68/9,422.63
  6. Step 6: Final answer
    x = 7,913.90

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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.