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Finding the Fourth Proportional to 6,484.16, 9,723.87 and 2,323.06

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Solution

The fourth proportional to 6,484.16, 9,723.87 and 2,323.06 is: 3,483.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.16 : 9,723.87 = 2,323.06 : x
  2. Step 2: Convert to fraction form
    6,484.16/9,723.87 = 2,323.06/x
  3. Step 3: Cross multiply
    6,484.16x = 9,723.87 × 2,323.06
  4. Step 4: Simplify right side
    6,484.16x = 22,589,109.13
  5. Step 5: Solve for x
    x = 22,589,109.13/6,484.16
  6. Step 6: Final answer
    x = 3,483.74

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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.