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Finding the Fourth Proportional to 6,100.91, 9,145.21 and 4,636.98

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Solution

The fourth proportional to 6,100.91, 9,145.21 and 4,636.98 is: 6,950.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.91 : 9,145.21 = 4,636.98 : x
  2. Step 2: Convert to fraction form
    6,100.91/9,145.21 = 4,636.98/x
  3. Step 3: Cross multiply
    6,100.91x = 9,145.21 × 4,636.98
  4. Step 4: Simplify right side
    6,100.91x = 42,406,155.87
  5. Step 5: Solve for x
    x = 42,406,155.87/6,100.91
  6. Step 6: Final answer
    x = 6,950.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.