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Finding the Fourth Proportional to 9,602.96, 14,402.00 and 3,028.59

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Solution

The fourth proportional to 9,602.96, 14,402.00 and 3,028.59 is: 4,542.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.96 : 14,402.00 = 3,028.59 : x
  2. Step 2: Convert to fraction form
    9,602.96/14,402.00 = 3,028.59/x
  3. Step 3: Cross multiply
    9,602.96x = 14,402.00 × 3,028.59
  4. Step 4: Simplify right side
    9,602.96x = 43,617,760.75
  5. Step 5: Solve for x
    x = 43,617,760.75/9,602.96
  6. Step 6: Final answer
    x = 4,542.12

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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.