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Finding the Fourth Proportional to 6,140.12, 8,472.93 and 3,782.30

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Solution

The fourth proportional to 6,140.12, 8,472.93 and 3,782.30 is: 5,219.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.12 : 8,472.93 = 3,782.30 : x
  2. Step 2: Convert to fraction form
    6,140.12/8,472.93 = 3,782.30/x
  3. Step 3: Cross multiply
    6,140.12x = 8,472.93 × 3,782.30
  4. Step 4: Simplify right side
    6,140.12x = 32,047,170.14
  5. Step 5: Solve for x
    x = 32,047,170.14/6,140.12
  6. Step 6: Final answer
    x = 5,219.30

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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.