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Finding the Fourth Proportional to 9,644.06, 13,308.18 and 5,394.39

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Solution

The fourth proportional to 9,644.06, 13,308.18 and 5,394.39 is: 7,443.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.06 : 13,308.18 = 5,394.39 : x
  2. Step 2: Convert to fraction form
    9,644.06/13,308.18 = 5,394.39/x
  3. Step 3: Cross multiply
    9,644.06x = 13,308.18 × 5,394.39
  4. Step 4: Simplify right side
    9,644.06x = 71,789,513.11
  5. Step 5: Solve for x
    x = 71,789,513.11/9,644.06
  6. Step 6: Final answer
    x = 7,443.91

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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.