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Finding the Fourth Proportional to 6,406.13, 9,612.15 and 2,709.21

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Solution

The fourth proportional to 6,406.13, 9,612.15 and 2,709.21 is: 4,065.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.13 : 9,612.15 = 2,709.21 : x
  2. Step 2: Convert to fraction form
    6,406.13/9,612.15 = 2,709.21/x
  3. Step 3: Cross multiply
    6,406.13x = 9,612.15 × 2,709.21
  4. Step 4: Simplify right side
    6,406.13x = 26,041,332.90
  5. Step 5: Solve for x
    x = 26,041,332.90/6,406.13
  6. Step 6: Final answer
    x = 4,065.07

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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.