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Finding the Fourth Proportional to 9,442.84, 14,165 and 2,517.16

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Solution

The fourth proportional to 9,442.84, 14,165 and 2,517.16 is: 3,775.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.84 : 14,165 = 2,517.16 : x
  2. Step 2: Convert to fraction form
    9,442.84/14,165 = 2,517.16/x
  3. Step 3: Cross multiply
    9,442.84x = 14,165 × 2,517.16
  4. Step 4: Simplify right side
    9,442.84x = 35,655,571.40
  5. Step 5: Solve for x
    x = 35,655,571.40/9,442.84
  6. Step 6: Final answer
    x = 3,775.94

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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.