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Finding the Fourth Proportional to 10,238.57, 14,095.09 and 9,768.36

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Solution

The fourth proportional to 10,238.57, 14,095.09 and 9,768.36 is: 13,447.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.57 : 14,095.09 = 9,768.36 : x
  2. Step 2: Convert to fraction form
    10,238.57/14,095.09 = 9,768.36/x
  3. Step 3: Cross multiply
    10,238.57x = 14,095.09 × 9,768.36
  4. Step 4: Simplify right side
    10,238.57x = 137,685,913.35
  5. Step 5: Solve for x
    x = 137,685,913.35/10,238.57
  6. Step 6: Final answer
    x = 13,447.77

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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.