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Finding the Fourth Proportional to 9,977.17, 13,767.86 and 5,500.67

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Solution

The fourth proportional to 9,977.17, 13,767.86 and 5,500.67 is: 7,590.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.17 : 13,767.86 = 5,500.67 : x
  2. Step 2: Convert to fraction form
    9,977.17/13,767.86 = 5,500.67/x
  3. Step 3: Cross multiply
    9,977.17x = 13,767.86 × 5,500.67
  4. Step 4: Simplify right side
    9,977.17x = 75,732,454.47
  5. Step 5: Solve for x
    x = 75,732,454.47/9,977.17
  6. Step 6: Final answer
    x = 7,590.57

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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.