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Finding the Fourth Proportional to 6,625.01, 9,142.68 and 3,641.00

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Solution

The fourth proportional to 6,625.01, 9,142.68 and 3,641.00 is: 5,024.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,625.01 : 9,142.68 = 3,641.00 : x
  2. Step 2: Convert to fraction form
    6,625.01/9,142.68 = 3,641.00/x
  3. Step 3: Cross multiply
    6,625.01x = 9,142.68 × 3,641.00
  4. Step 4: Simplify right side
    6,625.01x = 33,288,452.17
  5. Step 5: Solve for x
    x = 33,288,452.17/6,625.01
  6. Step 6: Final answer
    x = 5,024.67

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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.