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Finding the Fourth Proportional to 9,602.38, 14,403.57 and 3,029.23

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Solution

The fourth proportional to 9,602.38, 14,403.57 and 3,029.23 is: 4,543.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.38 : 14,403.57 = 3,029.23 : x
  2. Step 2: Convert to fraction form
    9,602.38/14,403.57 = 3,029.23/x
  3. Step 3: Cross multiply
    9,602.38x = 14,403.57 × 3,029.23
  4. Step 4: Simplify right side
    9,602.38x = 43,631,726.35
  5. Step 5: Solve for x
    x = 43,631,726.35/9,602.38
  6. Step 6: Final answer
    x = 4,543.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.