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Finding the Fourth Proportional to 6,431.18, 9,654.94 and 4,971.26

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Solution

The fourth proportional to 6,431.18, 9,654.94 and 4,971.26 is: 7,463.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.18 : 9,654.94 = 4,971.26 : x
  2. Step 2: Convert to fraction form
    6,431.18/9,654.94 = 4,971.26/x
  3. Step 3: Cross multiply
    6,431.18x = 9,654.94 × 4,971.26
  4. Step 4: Simplify right side
    6,431.18x = 47,997,217.02
  5. Step 5: Solve for x
    x = 47,997,217.02/6,431.18
  6. Step 6: Final answer
    x = 7,463.21

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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.