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Finding the Fourth Proportional to 9,716.58, 14,589.45 and 5,561.28

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Solution

The fourth proportional to 9,716.58, 14,589.45 and 5,561.28 is: 8,350.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.58 : 14,589.45 = 5,561.28 : x
  2. Step 2: Convert to fraction form
    9,716.58/14,589.45 = 5,561.28/x
  3. Step 3: Cross multiply
    9,716.58x = 14,589.45 × 5,561.28
  4. Step 4: Simplify right side
    9,716.58x = 81,136,016.50
  5. Step 5: Solve for x
    x = 81,136,016.50/9,716.58
  6. Step 6: Final answer
    x = 8,350.26

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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.