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Finding the Fourth Proportional to 9,857.85, 13,604.16 and 5,381.84

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Solution

The fourth proportional to 9,857.85, 13,604.16 and 5,381.84 is: 7,427.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.85 : 13,604.16 = 5,381.84 : x
  2. Step 2: Convert to fraction form
    9,857.85/13,604.16 = 5,381.84/x
  3. Step 3: Cross multiply
    9,857.85x = 13,604.16 × 5,381.84
  4. Step 4: Simplify right side
    9,857.85x = 73,215,385.55
  5. Step 5: Solve for x
    x = 73,215,385.55/9,857.85
  6. Step 6: Final answer
    x = 7,427.11

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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.