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Finding the Fourth Proportional to 6,197.57, 9,300.72 and 2,910.77

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Solution

The fourth proportional to 6,197.57, 9,300.72 and 2,910.77 is: 4,368.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.57 : 9,300.72 = 2,910.77 : x
  2. Step 2: Convert to fraction form
    6,197.57/9,300.72 = 2,910.77/x
  3. Step 3: Cross multiply
    6,197.57x = 9,300.72 × 2,910.77
  4. Step 4: Simplify right side
    6,197.57x = 27,072,256.75
  5. Step 5: Solve for x
    x = 27,072,256.75/6,197.57
  6. Step 6: Final answer
    x = 4,368.21

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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.