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Finding the Fourth Proportional to 6,759.75, 9,332.58 and 4,638.77

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Solution

The fourth proportional to 6,759.75, 9,332.58 and 4,638.77 is: 6,404.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,759.75 : 9,332.58 = 4,638.77 : x
  2. Step 2: Convert to fraction form
    6,759.75/9,332.58 = 4,638.77/x
  3. Step 3: Cross multiply
    6,759.75x = 9,332.58 × 4,638.77
  4. Step 4: Simplify right side
    6,759.75x = 43,291,645.46
  5. Step 5: Solve for x
    x = 43,291,645.46/6,759.75
  6. Step 6: Final answer
    x = 6,404.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.