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Finding the Fourth Proportional to 9,367.38, 12,927.93 and 7,005.42

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Solution

The fourth proportional to 9,367.38, 12,927.93 and 7,005.42 is: 9,668.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,367.38 : 12,927.93 = 7,005.42 : x
  2. Step 2: Convert to fraction form
    9,367.38/12,927.93 = 7,005.42/x
  3. Step 3: Cross multiply
    9,367.38x = 12,927.93 × 7,005.42
  4. Step 4: Simplify right side
    9,367.38x = 90,565,579.38
  5. Step 5: Solve for x
    x = 90,565,579.38/9,367.38
  6. Step 6: Final answer
    x = 9,668.19

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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.