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Finding the Fourth Proportional to 6,455.30, 9,683.68 and 2,071.22

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Solution

The fourth proportional to 6,455.30, 9,683.68 and 2,071.22 is: 3,107.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.30 : 9,683.68 = 2,071.22 : x
  2. Step 2: Convert to fraction form
    6,455.30/9,683.68 = 2,071.22/x
  3. Step 3: Cross multiply
    6,455.30x = 9,683.68 × 2,071.22
  4. Step 4: Simplify right side
    6,455.30x = 20,057,031.69
  5. Step 5: Solve for x
    x = 20,057,031.69/6,455.30
  6. Step 6: Final answer
    x = 3,107.06

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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.