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Finding the Fourth Proportional to 9,802.64, 14,705.40 and 3,229.52

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Solution

The fourth proportional to 9,802.64, 14,705.40 and 3,229.52 is: 4,844.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.64 : 14,705.40 = 3,229.52 : x
  2. Step 2: Convert to fraction form
    9,802.64/14,705.40 = 3,229.52/x
  3. Step 3: Cross multiply
    9,802.64x = 14,705.40 × 3,229.52
  4. Step 4: Simplify right side
    9,802.64x = 47,491,383.41
  5. Step 5: Solve for x
    x = 47,491,383.41/9,802.64
  6. Step 6: Final answer
    x = 4,844.75

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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.