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Finding the Fourth Proportional to 9,817.92, 14,725.68 and 2,892.24

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Solution

The fourth proportional to 9,817.92, 14,725.68 and 2,892.24 is: 4,338.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.92 : 14,725.68 = 2,892.24 : x
  2. Step 2: Convert to fraction form
    9,817.92/14,725.68 = 2,892.24/x
  3. Step 3: Cross multiply
    9,817.92x = 14,725.68 × 2,892.24
  4. Step 4: Simplify right side
    9,817.92x = 42,590,200.72
  5. Step 5: Solve for x
    x = 42,590,200.72/9,817.92
  6. Step 6: Final answer
    x = 4,338.01

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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.