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Finding the Fourth Proportional to 6,693.50, 9,241.86 and 4,460.03

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Solution

The fourth proportional to 6,693.50, 9,241.86 and 4,460.03 is: 6,158.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,693.50 : 9,241.86 = 4,460.03 : x
  2. Step 2: Convert to fraction form
    6,693.50/9,241.86 = 4,460.03/x
  3. Step 3: Cross multiply
    6,693.50x = 9,241.86 × 4,460.03
  4. Step 4: Simplify right side
    6,693.50x = 41,218,978.03
  5. Step 5: Solve for x
    x = 41,218,978.03/6,693.50
  6. Step 6: Final answer
    x = 6,158.06

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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.