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Finding the Fourth Proportional to 6,160.02, 9,241.65 and 2,871.42

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Solution

The fourth proportional to 6,160.02, 9,241.65 and 2,871.42 is: 4,307.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.02 : 9,241.65 = 2,871.42 : x
  2. Step 2: Convert to fraction form
    6,160.02/9,241.65 = 2,871.42/x
  3. Step 3: Cross multiply
    6,160.02x = 9,241.65 × 2,871.42
  4. Step 4: Simplify right side
    6,160.02x = 26,536,658.64
  5. Step 5: Solve for x
    x = 26,536,658.64/6,160.02
  6. Step 6: Final answer
    x = 4,307.89

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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.