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Finding the Fourth Proportional to 9,617.70, 14,427.90 and 3,043.20

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Solution

The fourth proportional to 9,617.70, 14,427.90 and 3,043.20 is: 4,565.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.70 : 14,427.90 = 3,043.20 : x
  2. Step 2: Convert to fraction form
    9,617.70/14,427.90 = 3,043.20/x
  3. Step 3: Cross multiply
    9,617.70x = 14,427.90 × 3,043.20
  4. Step 4: Simplify right side
    9,617.70x = 43,906,985.28
  5. Step 5: Solve for x
    x = 43,906,985.28/9,617.70
  6. Step 6: Final answer
    x = 4,565.23

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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.