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Finding the Fourth Proportional to 9,523.96, 13,143.18 and 5,332.12

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Solution

The fourth proportional to 9,523.96, 13,143.18 and 5,332.12 is: 7,358.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.96 : 13,143.18 = 5,332.12 : x
  2. Step 2: Convert to fraction form
    9,523.96/13,143.18 = 5,332.12/x
  3. Step 3: Cross multiply
    9,523.96x = 13,143.18 × 5,332.12
  4. Step 4: Simplify right side
    9,523.96x = 70,081,012.94
  5. Step 5: Solve for x
    x = 70,081,012.94/9,523.96
  6. Step 6: Final answer
    x = 7,358.39

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Why These Related Problems?

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