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Finding the Fourth Proportional to 9,241.84, 12,753.66 and 5,705.92

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Solution

The fourth proportional to 9,241.84, 12,753.66 and 5,705.92 is: 7,874.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.84 : 12,753.66 = 5,705.92 : x
  2. Step 2: Convert to fraction form
    9,241.84/12,753.66 = 5,705.92/x
  3. Step 3: Cross multiply
    9,241.84x = 12,753.66 × 5,705.92
  4. Step 4: Simplify right side
    9,241.84x = 72,771,363.67
  5. Step 5: Solve for x
    x = 72,771,363.67/9,241.84
  6. Step 6: Final answer
    x = 7,874.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.