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Finding the Fourth Proportional to 6,881.77, 9,491.61 and 4,760.83

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Solution

The fourth proportional to 6,881.77, 9,491.61 and 4,760.83 is: 6,566.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.77 : 9,491.61 = 4,760.83 : x
  2. Step 2: Convert to fraction form
    6,881.77/9,491.61 = 4,760.83/x
  3. Step 3: Cross multiply
    6,881.77x = 9,491.61 × 4,760.83
  4. Step 4: Simplify right side
    6,881.77x = 45,187,941.64
  5. Step 5: Solve for x
    x = 45,187,941.64/6,881.77
  6. Step 6: Final answer
    x = 6,566.33

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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.