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Finding the Fourth Proportional to 6,379.41, 9,553.20 and 4,032.34

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Solution

The fourth proportional to 6,379.41, 9,553.20 and 4,032.34 is: 6,038.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,379.41 : 9,553.20 = 4,032.34 : x
  2. Step 2: Convert to fraction form
    6,379.41/9,553.20 = 4,032.34/x
  3. Step 3: Cross multiply
    6,379.41x = 9,553.20 × 4,032.34
  4. Step 4: Simplify right side
    6,379.41x = 38,521,750.49
  5. Step 5: Solve for x
    x = 38,521,750.49/6,379.41
  6. Step 6: Final answer
    x = 6,038.45

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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.