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Finding the Fourth Proportional to 6,332.02, 9,487.77 and 3,859.35

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Solution

The fourth proportional to 6,332.02, 9,487.77 and 3,859.35 is: 5,782.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332.02 : 9,487.77 = 3,859.35 : x
  2. Step 2: Convert to fraction form
    6,332.02/9,487.77 = 3,859.35/x
  3. Step 3: Cross multiply
    6,332.02x = 9,487.77 × 3,859.35
  4. Step 4: Simplify right side
    6,332.02x = 36,616,625.15
  5. Step 5: Solve for x
    x = 36,616,625.15/6,332.02
  6. Step 6: Final answer
    x = 5,782.77

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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.