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Finding the Fourth Proportional to 9,653.45, 14,479.56 and 3,729.15

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Solution

The fourth proportional to 9,653.45, 14,479.56 and 3,729.15 is: 5,593.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.45 : 14,479.56 = 3,729.15 : x
  2. Step 2: Convert to fraction form
    9,653.45/14,479.56 = 3,729.15/x
  3. Step 3: Cross multiply
    9,653.45x = 14,479.56 × 3,729.15
  4. Step 4: Simplify right side
    9,653.45x = 53,996,451.17
  5. Step 5: Solve for x
    x = 53,996,451.17/9,653.45
  6. Step 6: Final answer
    x = 5,593.49

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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.