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Finding the Fourth Proportional to 9,599.19, 14,380.32 and 5,890.59

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Solution

The fourth proportional to 9,599.19, 14,380.32 and 5,890.59 is: 8,824.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.19 : 14,380.32 = 5,890.59 : x
  2. Step 2: Convert to fraction form
    9,599.19/14,380.32 = 5,890.59/x
  3. Step 3: Cross multiply
    9,599.19x = 14,380.32 × 5,890.59
  4. Step 4: Simplify right side
    9,599.19x = 84,708,569.19
  5. Step 5: Solve for x
    x = 84,708,569.19/9,599.19
  6. Step 6: Final answer
    x = 8,824.55

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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.