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Finding the Fourth Proportional to 6,279.36, 9,419.52 and 1,661.76

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Solution

The fourth proportional to 6,279.36, 9,419.52 and 1,661.76 is: 2,492.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,279.36 : 9,419.52 = 1,661.76 : x
  2. Step 2: Convert to fraction form
    6,279.36/9,419.52 = 1,661.76/x
  3. Step 3: Cross multiply
    6,279.36x = 9,419.52 × 1,661.76
  4. Step 4: Simplify right side
    6,279.36x = 15,652,981.56
  5. Step 5: Solve for x
    x = 15,652,981.56/6,279.36
  6. Step 6: Final answer
    x = 2,492.77

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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.