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Finding the Fourth Proportional to 6,326.54, 9,484.93 and 2,377.71

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Solution

The fourth proportional to 6,326.54, 9,484.93 and 2,377.71 is: 3,564.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.54 : 9,484.93 = 2,377.71 : x
  2. Step 2: Convert to fraction form
    6,326.54/9,484.93 = 2,377.71/x
  3. Step 3: Cross multiply
    6,326.54x = 9,484.93 × 2,377.71
  4. Step 4: Simplify right side
    6,326.54x = 22,552,412.91
  5. Step 5: Solve for x
    x = 22,552,412.91/6,326.54
  6. Step 6: Final answer
    x = 3,564.73

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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.