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Finding the Fourth Proportional to 9,812.52, 14,719.14 and 3,238.56

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Solution

The fourth proportional to 9,812.52, 14,719.14 and 3,238.56 is: 4,857.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.52 : 14,719.14 = 3,238.56 : x
  2. Step 2: Convert to fraction form
    9,812.52/14,719.14 = 3,238.56/x
  3. Step 3: Cross multiply
    9,812.52x = 14,719.14 × 3,238.56
  4. Step 4: Simplify right side
    9,812.52x = 47,668,818.04
  5. Step 5: Solve for x
    x = 47,668,818.04/9,812.52
  6. Step 6: Final answer
    x = 4,857.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.