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Finding the Fourth Proportional to 9,811, 13,539.18 and 5,395

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Solution

The fourth proportional to 9,811, 13,539.18 and 5,395 is: 7,445.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811 : 13,539.18 = 5,395 : x
  2. Step 2: Convert to fraction form
    9,811/13,539.18 = 5,395/x
  3. Step 3: Cross multiply
    9,811x = 13,539.18 × 5,395
  4. Step 4: Simplify right side
    9,811x = 73,043,876.10
  5. Step 5: Solve for x
    x = 73,043,876.10/9,811
  6. Step 6: Final answer
    x = 7,445.10

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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.