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Finding the Fourth Proportional to 6,323.52, 9,461.52 and 4,379.52

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Solution

The fourth proportional to 6,323.52, 9,461.52 and 4,379.52 is: 6,552.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.52 : 9,461.52 = 4,379.52 : x
  2. Step 2: Convert to fraction form
    6,323.52/9,461.52 = 4,379.52/x
  3. Step 3: Cross multiply
    6,323.52x = 9,461.52 × 4,379.52
  4. Step 4: Simplify right side
    6,323.52x = 41,436,916.07
  5. Step 5: Solve for x
    x = 41,436,916.07/6,323.52
  6. Step 6: Final answer
    x = 6,552.82

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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.