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Finding the Fourth Proportional to 10,300.14, 14,213.94 and 6,265.47

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Solution

The fourth proportional to 10,300.14, 14,213.94 and 6,265.47 is: 8,646.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.14 : 14,213.94 = 6,265.47 : x
  2. Step 2: Convert to fraction form
    10,300.14/14,213.94 = 6,265.47/x
  3. Step 3: Cross multiply
    10,300.14x = 14,213.94 × 6,265.47
  4. Step 4: Simplify right side
    10,300.14x = 89,057,014.65
  5. Step 5: Solve for x
    x = 89,057,014.65/10,300.14
  6. Step 6: Final answer
    x = 8,646.19

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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.