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Finding the Fourth Proportional to 7,186.38, 9,920.43 and 4,698.06

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Solution

The fourth proportional to 7,186.38, 9,920.43 and 4,698.06 is: 6,485.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.38 : 9,920.43 = 4,698.06 : x
  2. Step 2: Convert to fraction form
    7,186.38/9,920.43 = 4,698.06/x
  3. Step 3: Cross multiply
    7,186.38x = 9,920.43 × 4,698.06
  4. Step 4: Simplify right side
    7,186.38x = 46,606,775.37
  5. Step 5: Solve for x
    x = 46,606,775.37/7,186.38
  6. Step 6: Final answer
    x = 6,485.43

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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.