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Finding the Fourth Proportional to 6,503.16, 9,753.69 and 2,120.61

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Solution

The fourth proportional to 6,503.16, 9,753.69 and 2,120.61 is: 3,180.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.16 : 9,753.69 = 2,120.61 : x
  2. Step 2: Convert to fraction form
    6,503.16/9,753.69 = 2,120.61/x
  3. Step 3: Cross multiply
    6,503.16x = 9,753.69 × 2,120.61
  4. Step 4: Simplify right side
    6,503.16x = 20,683,772.55
  5. Step 5: Solve for x
    x = 20,683,772.55/6,503.16
  6. Step 6: Final answer
    x = 3,180.57

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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.