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Finding the Fourth Proportional to 9,881, 13,636.16 and 5,632.73

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Solution

The fourth proportional to 9,881, 13,636.16 and 5,632.73 is: 7,773.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881 : 13,636.16 = 5,632.73 : x
  2. Step 2: Convert to fraction form
    9,881/13,636.16 = 5,632.73/x
  3. Step 3: Cross multiply
    9,881x = 13,636.16 × 5,632.73
  4. Step 4: Simplify right side
    9,881x = 76,808,807.52
  5. Step 5: Solve for x
    x = 76,808,807.52/9,881
  6. Step 6: Final answer
    x = 7,773.38

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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.