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Finding the Fourth Proportional to 6,182.81, 9,280.28 and 4,534.66

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Solution

The fourth proportional to 6,182.81, 9,280.28 and 4,534.66 is: 6,806.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.81 : 9,280.28 = 4,534.66 : x
  2. Step 2: Convert to fraction form
    6,182.81/9,280.28 = 4,534.66/x
  3. Step 3: Cross multiply
    6,182.81x = 9,280.28 × 4,534.66
  4. Step 4: Simplify right side
    6,182.81x = 42,082,902.64
  5. Step 5: Solve for x
    x = 42,082,902.64/6,182.81
  6. Step 6: Final answer
    x = 6,806.44

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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.