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Finding the Fourth Proportional to 9,174.69, 12,666.44 and 6,654.38

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Solution

The fourth proportional to 9,174.69, 12,666.44 and 6,654.38 is: 9,186.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.69 : 12,666.44 = 6,654.38 : x
  2. Step 2: Convert to fraction form
    9,174.69/12,666.44 = 6,654.38/x
  3. Step 3: Cross multiply
    9,174.69x = 12,666.44 × 6,654.38
  4. Step 4: Simplify right side
    9,174.69x = 84,287,258.31
  5. Step 5: Solve for x
    x = 84,287,258.31/9,174.69
  6. Step 6: Final answer
    x = 9,186.93

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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.