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Finding the Fourth Proportional to 6,176.70, 9,265.05 and 4,946.52

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Solution

The fourth proportional to 6,176.70, 9,265.05 and 4,946.52 is: 7,419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.70 : 9,265.05 = 4,946.52 : x
  2. Step 2: Convert to fraction form
    6,176.70/9,265.05 = 4,946.52/x
  3. Step 3: Cross multiply
    6,176.70x = 9,265.05 × 4,946.52
  4. Step 4: Simplify right side
    6,176.70x = 45,829,755.13
  5. Step 5: Solve for x
    x = 45,829,755.13/6,176.70
  6. Step 6: Final answer
    x = 7,419.78

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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.