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Finding the Fourth Proportional to 9,795.84, 14,689.96 and 4,795.14

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Solution

The fourth proportional to 9,795.84, 14,689.96 and 4,795.14 is: 7,190.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795.84 : 14,689.96 = 4,795.14 : x
  2. Step 2: Convert to fraction form
    9,795.84/14,689.96 = 4,795.14/x
  3. Step 3: Cross multiply
    9,795.84x = 14,689.96 × 4,795.14
  4. Step 4: Simplify right side
    9,795.84x = 70,440,414.79
  5. Step 5: Solve for x
    x = 70,440,414.79/9,795.84
  6. Step 6: Final answer
    x = 7,190.85

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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.