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Finding the Fourth Proportional to 6,422.30, 9,614.55 and 4,786.10

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Solution

The fourth proportional to 6,422.30, 9,614.55 and 4,786.10 is: 7,165.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.30 : 9,614.55 = 4,786.10 : x
  2. Step 2: Convert to fraction form
    6,422.30/9,614.55 = 4,786.10/x
  3. Step 3: Cross multiply
    6,422.30x = 9,614.55 × 4,786.10
  4. Step 4: Simplify right side
    6,422.30x = 46,016,197.76
  5. Step 5: Solve for x
    x = 46,016,197.76/6,422.30
  6. Step 6: Final answer
    x = 7,165.07

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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.