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Finding the Fourth Proportional to 9,597.43, 14,379.94 and 5,891.95

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Solution

The fourth proportional to 9,597.43, 14,379.94 and 5,891.95 is: 8,827.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.43 : 14,379.94 = 5,891.95 : x
  2. Step 2: Convert to fraction form
    9,597.43/14,379.94 = 5,891.95/x
  3. Step 3: Cross multiply
    9,597.43x = 14,379.94 × 5,891.95
  4. Step 4: Simplify right side
    9,597.43x = 84,725,887.48
  5. Step 5: Solve for x
    x = 84,725,887.48/9,597.43
  6. Step 6: Final answer
    x = 8,827.98

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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.