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Finding the Fourth Proportional to 9,889.13, 14,839.53 and 3,653.56

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Solution

The fourth proportional to 9,889.13, 14,839.53 and 3,653.56 is: 5,482.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.13 : 14,839.53 = 3,653.56 : x
  2. Step 2: Convert to fraction form
    9,889.13/14,839.53 = 3,653.56/x
  3. Step 3: Cross multiply
    9,889.13x = 14,839.53 × 3,653.56
  4. Step 4: Simplify right side
    9,889.13x = 54,217,039.03
  5. Step 5: Solve for x
    x = 54,217,039.03/9,889.13
  6. Step 6: Final answer
    x = 5,482.49

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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.