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Finding the Fourth Proportional to 6,401.17, 9,601.71 and 1,784.17

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Solution

The fourth proportional to 6,401.17, 9,601.71 and 1,784.17 is: 2,676.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.17 : 9,601.71 = 1,784.17 : x
  2. Step 2: Convert to fraction form
    6,401.17/9,601.71 = 1,784.17/x
  3. Step 3: Cross multiply
    6,401.17x = 9,601.71 × 1,784.17
  4. Step 4: Simplify right side
    6,401.17x = 17,131,082.93
  5. Step 5: Solve for x
    x = 17,131,082.93/6,401.17
  6. Step 6: Final answer
    x = 2,676.24

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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.