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Finding the Fourth Proportional to 9,596.19, 14,375.82 and 5,887.59

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Solution

The fourth proportional to 9,596.19, 14,375.82 and 5,887.59 is: 8,820.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.19 : 14,375.82 = 5,887.59 : x
  2. Step 2: Convert to fraction form
    9,596.19/14,375.82 = 5,887.59/x
  3. Step 3: Cross multiply
    9,596.19x = 14,375.82 × 5,887.59
  4. Step 4: Simplify right side
    9,596.19x = 84,638,934.07
  5. Step 5: Solve for x
    x = 84,638,934.07/9,596.19
  6. Step 6: Final answer
    x = 8,820.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.