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Finding the Fourth Proportional to 6,866.29, 10,303.62 and 6,308.65

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Solution

The fourth proportional to 6,866.29, 10,303.62 and 6,308.65 is: 9,466.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.29 : 10,303.62 = 6,308.65 : x
  2. Step 2: Convert to fraction form
    6,866.29/10,303.62 = 6,308.65/x
  3. Step 3: Cross multiply
    6,866.29x = 10,303.62 × 6,308.65
  4. Step 4: Simplify right side
    6,866.29x = 65,001,932.31
  5. Step 5: Solve for x
    x = 65,001,932.31/6,866.29
  6. Step 6: Final answer
    x = 9,466.82

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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.