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Finding the Fourth Proportional to 6,423.10, 9,618.91 and 5,305.68

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Solution

The fourth proportional to 6,423.10, 9,618.91 and 5,305.68 is: 7,945.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.10 : 9,618.91 = 5,305.68 : x
  2. Step 2: Convert to fraction form
    6,423.10/9,618.91 = 5,305.68/x
  3. Step 3: Cross multiply
    6,423.10x = 9,618.91 × 5,305.68
  4. Step 4: Simplify right side
    6,423.10x = 51,034,858.41
  5. Step 5: Solve for x
    x = 51,034,858.41/6,423.10
  6. Step 6: Final answer
    x = 7,945.52

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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.