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Finding the Fourth Proportional to 9,811.02, 13,538.95 and 5,561.97

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Solution

The fourth proportional to 9,811.02, 13,538.95 and 5,561.97 is: 7,675.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.02 : 13,538.95 = 5,561.97 : x
  2. Step 2: Convert to fraction form
    9,811.02/13,538.95 = 5,561.97/x
  3. Step 3: Cross multiply
    9,811.02x = 13,538.95 × 5,561.97
  4. Step 4: Simplify right side
    9,811.02x = 75,303,169.06
  5. Step 5: Solve for x
    x = 75,303,169.06/9,811.02
  6. Step 6: Final answer
    x = 7,675.36

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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.