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Finding the Fourth Proportional to 6,309.90, 9,465.44 and 2,148.51

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Solution

The fourth proportional to 6,309.90, 9,465.44 and 2,148.51 is: 3,222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.90 : 9,465.44 = 2,148.51 : x
  2. Step 2: Convert to fraction form
    6,309.90/9,465.44 = 2,148.51/x
  3. Step 3: Cross multiply
    6,309.90x = 9,465.44 × 2,148.51
  4. Step 4: Simplify right side
    6,309.90x = 20,336,581.75
  5. Step 5: Solve for x
    x = 20,336,581.75/6,309.90
  6. Step 6: Final answer
    x = 3,222.96

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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.