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Finding the Fourth Proportional to 6,634.99, 9,152.49 and 4,146.67

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Solution

The fourth proportional to 6,634.99, 9,152.49 and 4,146.67 is: 5,720.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,634.99 : 9,152.49 = 4,146.67 : x
  2. Step 2: Convert to fraction form
    6,634.99/9,152.49 = 4,146.67/x
  3. Step 3: Cross multiply
    6,634.99x = 9,152.49 × 4,146.67
  4. Step 4: Simplify right side
    6,634.99x = 37,952,355.71
  5. Step 5: Solve for x
    x = 37,952,355.71/6,634.99
  6. Step 6: Final answer
    x = 5,720.03

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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.