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Finding the Fourth Proportional to 9,602.57, 14,407.58 and 3,363.28

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Solution

The fourth proportional to 9,602.57, 14,407.58 and 3,363.28 is: 5,046.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.57 : 14,407.58 = 3,363.28 : x
  2. Step 2: Convert to fraction form
    9,602.57/14,407.58 = 3,363.28/x
  3. Step 3: Cross multiply
    9,602.57x = 14,407.58 × 3,363.28
  4. Step 4: Simplify right side
    9,602.57x = 48,456,698.05
  5. Step 5: Solve for x
    x = 48,456,698.05/9,602.57
  6. Step 6: Final answer
    x = 5,046.22

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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.