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Finding the Fourth Proportional to 6,416.34, 9,627.42 and 2,721.12

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Solution

The fourth proportional to 6,416.34, 9,627.42 and 2,721.12 is: 4,082.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.34 : 9,627.42 = 2,721.12 : x
  2. Step 2: Convert to fraction form
    6,416.34/9,627.42 = 2,721.12/x
  3. Step 3: Cross multiply
    6,416.34x = 9,627.42 × 2,721.12
  4. Step 4: Simplify right side
    6,416.34x = 26,197,365.11
  5. Step 5: Solve for x
    x = 26,197,365.11/6,416.34
  6. Step 6: Final answer
    x = 4,082.91

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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.