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Finding the Fourth Proportional to 9,862.66, 14,785.19 and 3,621.24

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Solution

The fourth proportional to 9,862.66, 14,785.19 and 3,621.24 is: 5,428.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.66 : 14,785.19 = 3,621.24 : x
  2. Step 2: Convert to fraction form
    9,862.66/14,785.19 = 3,621.24/x
  3. Step 3: Cross multiply
    9,862.66x = 14,785.19 × 3,621.24
  4. Step 4: Simplify right side
    9,862.66x = 53,540,730.49
  5. Step 5: Solve for x
    x = 53,540,730.49/9,862.66
  6. Step 6: Final answer
    x = 5,428.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.