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Finding the Fourth Proportional to 6,402.14, 9,606.32 and 2,894.57

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Solution

The fourth proportional to 6,402.14, 9,606.32 and 2,894.57 is: 4,343.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.14 : 9,606.32 = 2,894.57 : x
  2. Step 2: Convert to fraction form
    6,402.14/9,606.32 = 2,894.57/x
  3. Step 3: Cross multiply
    6,402.14x = 9,606.32 × 2,894.57
  4. Step 4: Simplify right side
    6,402.14x = 27,806,151.21
  5. Step 5: Solve for x
    x = 27,806,151.21/6,402.14
  6. Step 6: Final answer
    x = 4,343.26

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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.