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Finding the Fourth Proportional to 10,069.65, 13,898.09 and 6,433.36

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Solution

The fourth proportional to 10,069.65, 13,898.09 and 6,433.36 is: 8,879.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069.65 : 13,898.09 = 6,433.36 : x
  2. Step 2: Convert to fraction form
    10,069.65/13,898.09 = 6,433.36/x
  3. Step 3: Cross multiply
    10,069.65x = 13,898.09 × 6,433.36
  4. Step 4: Simplify right side
    10,069.65x = 89,411,397.62
  5. Step 5: Solve for x
    x = 89,411,397.62/10,069.65
  6. Step 6: Final answer
    x = 8,879.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.