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Finding the Fourth Proportional to 6,226.65, 9,386.60 and 5,814.18

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Solution

The fourth proportional to 6,226.65, 9,386.60 and 5,814.18 is: 8,764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.65 : 9,386.60 = 5,814.18 : x
  2. Step 2: Convert to fraction form
    6,226.65/9,386.60 = 5,814.18/x
  3. Step 3: Cross multiply
    6,226.65x = 9,386.60 × 5,814.18
  4. Step 4: Simplify right side
    6,226.65x = 54,575,352.92
  5. Step 5: Solve for x
    x = 54,575,352.92/6,226.65
  6. Step 6: Final answer
    x = 8,764.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.