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Finding the Fourth Proportional to 6,465.90, 9,698.85 and 2,084.01

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Solution

The fourth proportional to 6,465.90, 9,698.85 and 2,084.01 is: 3,126.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.90 : 9,698.85 = 2,084.01 : x
  2. Step 2: Convert to fraction form
    6,465.90/9,698.85 = 2,084.01/x
  3. Step 3: Cross multiply
    6,465.90x = 9,698.85 × 2,084.01
  4. Step 4: Simplify right side
    6,465.90x = 20,212,500.39
  5. Step 5: Solve for x
    x = 20,212,500.39/6,465.90
  6. Step 6: Final answer
    x = 3,126.02

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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.