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Finding the Fourth Proportional to 11,093.70, 15,291.39 and 9,654.38

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Solution

The fourth proportional to 11,093.70, 15,291.39 and 9,654.38 is: 13,307.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,093.70 : 15,291.39 = 9,654.38 : x
  2. Step 2: Convert to fraction form
    11,093.70/15,291.39 = 9,654.38/x
  3. Step 3: Cross multiply
    11,093.70x = 15,291.39 × 9,654.38
  4. Step 4: Simplify right side
    11,093.70x = 147,628,889.79
  5. Step 5: Solve for x
    x = 147,628,889.79/11,093.70
  6. Step 6: Final answer
    x = 13,307.45

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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.