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Finding the Fourth Proportional to 10,292.33, 14,198.19 and 6,509.13

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Solution

The fourth proportional to 10,292.33, 14,198.19 and 6,509.13 is: 8,979.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.33 : 14,198.19 = 6,509.13 : x
  2. Step 2: Convert to fraction form
    10,292.33/14,198.19 = 6,509.13/x
  3. Step 3: Cross multiply
    10,292.33x = 14,198.19 × 6,509.13
  4. Step 4: Simplify right side
    10,292.33x = 92,417,786.82
  5. Step 5: Solve for x
    x = 92,417,786.82/10,292.33
  6. Step 6: Final answer
    x = 8,979.28

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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.