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Finding the Fourth Proportional to 6,473.12, 9,707.63 and 2,089.56

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Solution

The fourth proportional to 6,473.12, 9,707.63 and 2,089.56 is: 3,133.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.12 : 9,707.63 = 2,089.56 : x
  2. Step 2: Convert to fraction form
    6,473.12/9,707.63 = 2,089.56/x
  3. Step 3: Cross multiply
    6,473.12x = 9,707.63 × 2,089.56
  4. Step 4: Simplify right side
    6,473.12x = 20,284,664.90
  5. Step 5: Solve for x
    x = 20,284,664.90/6,473.12
  6. Step 6: Final answer
    x = 3,133.68

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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.