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Finding the Fourth Proportional to 9,597.89, 14,364.31 and 5,902.46

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Solution

The fourth proportional to 9,597.89, 14,364.31 and 5,902.46 is: 8,833.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.89 : 14,364.31 = 5,902.46 : x
  2. Step 2: Convert to fraction form
    9,597.89/14,364.31 = 5,902.46/x
  3. Step 3: Cross multiply
    9,597.89x = 14,364.31 × 5,902.46
  4. Step 4: Simplify right side
    9,597.89x = 84,784,765.20
  5. Step 5: Solve for x
    x = 84,784,765.20/9,597.89
  6. Step 6: Final answer
    x = 8,833.69

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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.