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Finding the Fourth Proportional to 6,465.72, 9,701.46 and 3,387

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Solution

The fourth proportional to 6,465.72, 9,701.46 and 3,387 is: 5,082.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.72 : 9,701.46 = 3,387 : x
  2. Step 2: Convert to fraction form
    6,465.72/9,701.46 = 3,387/x
  3. Step 3: Cross multiply
    6,465.72x = 9,701.46 × 3,387
  4. Step 4: Simplify right side
    6,465.72x = 32,858,845.02
  5. Step 5: Solve for x
    x = 32,858,845.02/6,465.72
  6. Step 6: Final answer
    x = 5,082.01

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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.