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Finding the Fourth Proportional to 9,977.00, 13,768.09 and 5,501.16

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Solution

The fourth proportional to 9,977.00, 13,768.09 and 5,501.16 is: 7,591.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.00 : 13,768.09 = 5,501.16 : x
  2. Step 2: Convert to fraction form
    9,977.00/13,768.09 = 5,501.16/x
  3. Step 3: Cross multiply
    9,977.00x = 13,768.09 × 5,501.16
  4. Step 4: Simplify right side
    9,977.00x = 75,740,452.23
  5. Step 5: Solve for x
    x = 75,740,452.23/9,977.00
  6. Step 6: Final answer
    x = 7,591.51

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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.