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Finding the Fourth Proportional to 6,555.96, 9,038.38 and 6,352.12

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Solution

The fourth proportional to 6,555.96, 9,038.38 and 6,352.12 is: 8,757.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555.96 : 9,038.38 = 6,352.12 : x
  2. Step 2: Convert to fraction form
    6,555.96/9,038.38 = 6,352.12/x
  3. Step 3: Cross multiply
    6,555.96x = 9,038.38 × 6,352.12
  4. Step 4: Simplify right side
    6,555.96x = 57,412,874.37
  5. Step 5: Solve for x
    x = 57,412,874.37/6,555.96
  6. Step 6: Final answer
    x = 8,757.36

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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.