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Finding the Fourth Proportional to 9,611.71, 13,263.81 and 5,362.71

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Solution

The fourth proportional to 9,611.71, 13,263.81 and 5,362.71 is: 7,400.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.71 : 13,263.81 = 5,362.71 : x
  2. Step 2: Convert to fraction form
    9,611.71/13,263.81 = 5,362.71/x
  3. Step 3: Cross multiply
    9,611.71x = 13,263.81 × 5,362.71
  4. Step 4: Simplify right side
    9,611.71x = 71,129,934.38
  5. Step 5: Solve for x
    x = 71,129,934.38/9,611.71
  6. Step 6: Final answer
    x = 7,400.34

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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.