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Finding the Fourth Proportional to 6,663.94, 9,193.34 and 3,830.66

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Solution

The fourth proportional to 6,663.94, 9,193.34 and 3,830.66 is: 5,284.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663.94 : 9,193.34 = 3,830.66 : x
  2. Step 2: Convert to fraction form
    6,663.94/9,193.34 = 3,830.66/x
  3. Step 3: Cross multiply
    6,663.94x = 9,193.34 × 3,830.66
  4. Step 4: Simplify right side
    6,663.94x = 35,216,559.80
  5. Step 5: Solve for x
    x = 35,216,559.80/6,663.94
  6. Step 6: Final answer
    x = 5,284.65

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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.