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Finding the Fourth Proportional to 6,627.30, 9,925.82 and 3,166.98

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Solution

The fourth proportional to 6,627.30, 9,925.82 and 3,166.98 is: 4,743.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,627.30 : 9,925.82 = 3,166.98 : x
  2. Step 2: Convert to fraction form
    6,627.30/9,925.82 = 3,166.98/x
  3. Step 3: Cross multiply
    6,627.30x = 9,925.82 × 3,166.98
  4. Step 4: Simplify right side
    6,627.30x = 31,434,873.42
  5. Step 5: Solve for x
    x = 31,434,873.42/6,627.30
  6. Step 6: Final answer
    x = 4,743.24

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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.