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Finding the Fourth Proportional to 9,600.70, 14,402.43 and 3,027.42

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Solution

The fourth proportional to 9,600.70, 14,402.43 and 3,027.42 is: 4,541.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.70 : 14,402.43 = 3,027.42 : x
  2. Step 2: Convert to fraction form
    9,600.70/14,402.43 = 3,027.42/x
  3. Step 3: Cross multiply
    9,600.70x = 14,402.43 × 3,027.42
  4. Step 4: Simplify right side
    9,600.70x = 43,602,204.63
  5. Step 5: Solve for x
    x = 43,602,204.63/9,600.70
  6. Step 6: Final answer
    x = 4,541.57

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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.