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Finding the Fourth Proportional to 6,197.40, 9,297.52 and 2,688

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Solution

The fourth proportional to 6,197.40, 9,297.52 and 2,688 is: 4,032.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.40 : 9,297.52 = 2,688 : x
  2. Step 2: Convert to fraction form
    6,197.40/9,297.52 = 2,688/x
  3. Step 3: Cross multiply
    6,197.40x = 9,297.52 × 2,688
  4. Step 4: Simplify right side
    6,197.40x = 24,991,733.76
  5. Step 5: Solve for x
    x = 24,991,733.76/6,197.40
  6. Step 6: Final answer
    x = 4,032.62

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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.