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Finding the Fourth Proportional to 9,809.38, 13,536.95 and 5,618.44

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Solution

The fourth proportional to 9,809.38, 13,536.95 and 5,618.44 is: 7,753.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.38 : 13,536.95 = 5,618.44 : x
  2. Step 2: Convert to fraction form
    9,809.38/13,536.95 = 5,618.44/x
  3. Step 3: Cross multiply
    9,809.38x = 13,536.95 × 5,618.44
  4. Step 4: Simplify right side
    9,809.38x = 76,056,541.36
  5. Step 5: Solve for x
    x = 76,056,541.36/9,809.38
  6. Step 6: Final answer
    x = 7,753.45

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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.