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Finding the Fourth Proportional to 7,236, 9,994.32 and 4,874.04

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Solution

The fourth proportional to 7,236, 9,994.32 and 4,874.04 is: 6,731.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,236 : 9,994.32 = 4,874.04 : x
  2. Step 2: Convert to fraction form
    7,236/9,994.32 = 4,874.04/x
  3. Step 3: Cross multiply
    7,236x = 9,994.32 × 4,874.04
  4. Step 4: Simplify right side
    7,236x = 48,712,715.45
  5. Step 5: Solve for x
    x = 48,712,715.45/7,236
  6. Step 6: Final answer
    x = 6,731.99

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Why These Related Problems?

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