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Finding the Fourth Proportional to 6,414.93, 9,625.58 and 3,602.01

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Solution

The fourth proportional to 6,414.93, 9,625.58 and 3,602.01 is: 5,404.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.93 : 9,625.58 = 3,602.01 : x
  2. Step 2: Convert to fraction form
    6,414.93/9,625.58 = 3,602.01/x
  3. Step 3: Cross multiply
    6,414.93x = 9,625.58 × 3,602.01
  4. Step 4: Simplify right side
    6,414.93x = 34,671,480.52
  5. Step 5: Solve for x
    x = 34,671,480.52/6,414.93
  6. Step 6: Final answer
    x = 5,404.81

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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.