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Finding the Fourth Proportional to 9,443, 14,219.60 and 6,995.18

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Solution

The fourth proportional to 9,443, 14,219.60 and 6,995.18 is: 10,533.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443 : 14,219.60 = 6,995.18 : x
  2. Step 2: Convert to fraction form
    9,443/14,219.60 = 6,995.18/x
  3. Step 3: Cross multiply
    9,443x = 14,219.60 × 6,995.18
  4. Step 4: Simplify right side
    9,443x = 99,468,661.53
  5. Step 5: Solve for x
    x = 99,468,661.53/9,443
  6. Step 6: Final answer
    x = 10,533.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.