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Finding the Fourth Proportional to 6,102.41, 9,153.62 and 2,402.62

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Solution

The fourth proportional to 6,102.41, 9,153.62 and 2,402.62 is: 3,603.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.41 : 9,153.62 = 2,402.62 : x
  2. Step 2: Convert to fraction form
    6,102.41/9,153.62 = 2,402.62/x
  3. Step 3: Cross multiply
    6,102.41x = 9,153.62 × 2,402.62
  4. Step 4: Simplify right side
    6,102.41x = 21,992,653.61
  5. Step 5: Solve for x
    x = 21,992,653.61/6,102.41
  6. Step 6: Final answer
    x = 3,603.93

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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.