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Finding the Fourth Proportional to 7,177.16, 9,900.87 and 6,231.67

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Solution

The fourth proportional to 7,177.16, 9,900.87 and 6,231.67 is: 8,596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.16 : 9,900.87 = 6,231.67 : x
  2. Step 2: Convert to fraction form
    7,177.16/9,900.87 = 6,231.67/x
  3. Step 3: Cross multiply
    7,177.16x = 9,900.87 × 6,231.67
  4. Step 4: Simplify right side
    7,177.16x = 61,698,954.55
  5. Step 5: Solve for x
    x = 61,698,954.55/7,177.16
  6. Step 6: Final answer
    x = 8,596.57

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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.