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Finding the Fourth Proportional to 9,827.16, 14,737.53 and 3,251.70

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Solution

The fourth proportional to 9,827.16, 14,737.53 and 3,251.70 is: 4,876.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.16 : 14,737.53 = 3,251.70 : x
  2. Step 2: Convert to fraction form
    9,827.16/14,737.53 = 3,251.70/x
  3. Step 3: Cross multiply
    9,827.16x = 14,737.53 × 3,251.70
  4. Step 4: Simplify right side
    9,827.16x = 47,922,026.30
  5. Step 5: Solve for x
    x = 47,922,026.30/9,827.16
  6. Step 6: Final answer
    x = 4,876.49

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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.