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Finding the Fourth Proportional to 6,385.69, 9,587.50 and 3,267.93

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Solution

The fourth proportional to 6,385.69, 9,587.50 and 3,267.93 is: 4,906.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.69 : 9,587.50 = 3,267.93 : x
  2. Step 2: Convert to fraction form
    6,385.69/9,587.50 = 3,267.93/x
  3. Step 3: Cross multiply
    6,385.69x = 9,587.50 × 3,267.93
  4. Step 4: Simplify right side
    6,385.69x = 31,331,278.88
  5. Step 5: Solve for x
    x = 31,331,278.88/6,385.69
  6. Step 6: Final answer
    x = 4,906.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.