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Finding the Fourth Proportional to 9,809.99, 13,538.06 and 5,334.05

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Solution

The fourth proportional to 9,809.99, 13,538.06 and 5,334.05 is: 7,361.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.99 : 13,538.06 = 5,334.05 : x
  2. Step 2: Convert to fraction form
    9,809.99/13,538.06 = 5,334.05/x
  3. Step 3: Cross multiply
    9,809.99x = 13,538.06 × 5,334.05
  4. Step 4: Simplify right side
    9,809.99x = 72,212,688.94
  5. Step 5: Solve for x
    x = 72,212,688.94/9,809.99
  6. Step 6: Final answer
    x = 7,361.14

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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.