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Finding the Fourth Proportional to 9,977.42, 13,768.94 and 5,501.35

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Solution

The fourth proportional to 9,977.42, 13,768.94 and 5,501.35 is: 7,591.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.42 : 13,768.94 = 5,501.35 : x
  2. Step 2: Convert to fraction form
    9,977.42/13,768.94 = 5,501.35/x
  3. Step 3: Cross multiply
    9,977.42x = 13,768.94 × 5,501.35
  4. Step 4: Simplify right side
    9,977.42x = 75,747,758.07
  5. Step 5: Solve for x
    x = 75,747,758.07/9,977.42
  6. Step 6: Final answer
    x = 7,591.92

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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.