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Finding the Fourth Proportional to 9,835.93, 13,573.58 and 5,857.21

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Solution

The fourth proportional to 9,835.93, 13,573.58 and 5,857.21 is: 8,082.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.93 : 13,573.58 = 5,857.21 : x
  2. Step 2: Convert to fraction form
    9,835.93/13,573.58 = 5,857.21/x
  3. Step 3: Cross multiply
    9,835.93x = 13,573.58 × 5,857.21
  4. Step 4: Simplify right side
    9,835.93x = 79,503,296.19
  5. Step 5: Solve for x
    x = 79,503,296.19/9,835.93
  6. Step 6: Final answer
    x = 8,082.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.