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Finding the Fourth Proportional to 9,602.07, 14,403.07 and 3,754.56

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Solution

The fourth proportional to 9,602.07, 14,403.07 and 3,754.56 is: 5,631.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.07 : 14,403.07 = 3,754.56 : x
  2. Step 2: Convert to fraction form
    9,602.07/14,403.07 = 3,754.56/x
  3. Step 3: Cross multiply
    9,602.07x = 14,403.07 × 3,754.56
  4. Step 4: Simplify right side
    9,602.07x = 54,077,190.50
  5. Step 5: Solve for x
    x = 54,077,190.50/9,602.07
  6. Step 6: Final answer
    x = 5,631.83

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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.