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Finding the Fourth Proportional to 6,185.03, 9,278.79 and 5,565.38

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Solution

The fourth proportional to 6,185.03, 9,278.79 and 5,565.38 is: 8,349.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.03 : 9,278.79 = 5,565.38 : x
  2. Step 2: Convert to fraction form
    6,185.03/9,278.79 = 5,565.38/x
  3. Step 3: Cross multiply
    6,185.03x = 9,278.79 × 5,565.38
  4. Step 4: Simplify right side
    6,185.03x = 51,639,964.46
  5. Step 5: Solve for x
    x = 51,639,964.46/6,185.03
  6. Step 6: Final answer
    x = 8,349.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.