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Finding the Fourth Proportional to 9,678.38, 13,351.55 and 6,135.44

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Solution

The fourth proportional to 9,678.38, 13,351.55 and 6,135.44 is: 8,463.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.38 : 13,351.55 = 6,135.44 : x
  2. Step 2: Convert to fraction form
    9,678.38/13,351.55 = 6,135.44/x
  3. Step 3: Cross multiply
    9,678.38x = 13,351.55 × 6,135.44
  4. Step 4: Simplify right side
    9,678.38x = 81,917,582.51
  5. Step 5: Solve for x
    x = 81,917,582.51/9,678.38
  6. Step 6: Final answer
    x = 8,463.98

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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.