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Finding the Fourth Proportional to 9,977.66, 13,768.94 and 5,501.32

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Solution

The fourth proportional to 9,977.66, 13,768.94 and 5,501.32 is: 7,591.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.66 : 13,768.94 = 5,501.32 : x
  2. Step 2: Convert to fraction form
    9,977.66/13,768.94 = 5,501.32/x
  3. Step 3: Cross multiply
    9,977.66x = 13,768.94 × 5,501.32
  4. Step 4: Simplify right side
    9,977.66x = 75,747,345.00
  5. Step 5: Solve for x
    x = 75,747,345.00/9,977.66
  6. Step 6: Final answer
    x = 7,591.69

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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.