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Finding the Fourth Proportional to 9,861.42, 13,608.36 and 5,385

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Solution

The fourth proportional to 9,861.42, 13,608.36 and 5,385 is: 7,431.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.42 : 13,608.36 = 5,385 : x
  2. Step 2: Convert to fraction form
    9,861.42/13,608.36 = 5,385/x
  3. Step 3: Cross multiply
    9,861.42x = 13,608.36 × 5,385
  4. Step 4: Simplify right side
    9,861.42x = 73,281,018.60
  5. Step 5: Solve for x
    x = 73,281,018.60/9,861.42
  6. Step 6: Final answer
    x = 7,431.08

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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.