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Finding the Fourth Proportional to 9,602.57, 14,403.82 and 3,755.06

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Solution

The fourth proportional to 9,602.57, 14,403.82 and 3,755.06 is: 5,632.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.57 : 14,403.82 = 3,755.06 : x
  2. Step 2: Convert to fraction form
    9,602.57/14,403.82 = 3,755.06/x
  3. Step 3: Cross multiply
    9,602.57x = 14,403.82 × 3,755.06
  4. Step 4: Simplify right side
    9,602.57x = 54,087,208.33
  5. Step 5: Solve for x
    x = 54,087,208.33/9,602.57
  6. Step 6: Final answer
    x = 5,632.58

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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.