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Finding the Fourth Proportional to 9,977.81, 13,768.74 and 5,501.60

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Solution

The fourth proportional to 9,977.81, 13,768.74 and 5,501.60 is: 7,591.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.81 : 13,768.74 = 5,501.60 : x
  2. Step 2: Convert to fraction form
    9,977.81/13,768.74 = 5,501.60/x
  3. Step 3: Cross multiply
    9,977.81x = 13,768.74 × 5,501.60
  4. Step 4: Simplify right side
    9,977.81x = 75,750,031.14
  5. Step 5: Solve for x
    x = 75,750,031.14/9,977.81
  6. Step 6: Final answer
    x = 7,591.85

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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.