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Finding the Fourth Proportional to 6,191.66, 9,277.01 and 4,427.71

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Solution

The fourth proportional to 6,191.66, 9,277.01 and 4,427.71 is: 6,634.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.66 : 9,277.01 = 4,427.71 : x
  2. Step 2: Convert to fraction form
    6,191.66/9,277.01 = 4,427.71/x
  3. Step 3: Cross multiply
    6,191.66x = 9,277.01 × 4,427.71
  4. Step 4: Simplify right side
    6,191.66x = 41,075,841.42
  5. Step 5: Solve for x
    x = 41,075,841.42/6,191.66
  6. Step 6: Final answer
    x = 6,634.06

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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.