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Finding the Fourth Proportional to 9,174.84, 13,753.74 and 4,787.04

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Solution

The fourth proportional to 9,174.84, 13,753.74 and 4,787.04 is: 7,176.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.84 : 13,753.74 = 4,787.04 : x
  2. Step 2: Convert to fraction form
    9,174.84/13,753.74 = 4,787.04/x
  3. Step 3: Cross multiply
    9,174.84x = 13,753.74 × 4,787.04
  4. Step 4: Simplify right side
    9,174.84x = 65,839,703.53
  5. Step 5: Solve for x
    x = 65,839,703.53/9,174.84
  6. Step 6: Final answer
    x = 7,176.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.