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Finding the Fourth Proportional to 9,737.66, 14,606.49 and 3,894.32

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Solution

The fourth proportional to 9,737.66, 14,606.49 and 3,894.32 is: 5,841.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.66 : 14,606.49 = 3,894.32 : x
  2. Step 2: Convert to fraction form
    9,737.66/14,606.49 = 3,894.32/x
  3. Step 3: Cross multiply
    9,737.66x = 14,606.49 × 3,894.32
  4. Step 4: Simplify right side
    9,737.66x = 56,882,346.14
  5. Step 5: Solve for x
    x = 56,882,346.14/9,737.66
  6. Step 6: Final answer
    x = 5,841.48

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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.