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Finding the Fourth Proportional to 6,235.04, 9,354.80 and 3,114.80

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Solution

The fourth proportional to 6,235.04, 9,354.80 and 3,114.80 is: 4,673.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,235.04 : 9,354.80 = 3,114.80 : x
  2. Step 2: Convert to fraction form
    6,235.04/9,354.80 = 3,114.80/x
  3. Step 3: Cross multiply
    6,235.04x = 9,354.80 × 3,114.80
  4. Step 4: Simplify right side
    6,235.04x = 29,138,331.04
  5. Step 5: Solve for x
    x = 29,138,331.04/6,235.04
  6. Step 6: Final answer
    x = 4,673.32

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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.