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Finding the Fourth Proportional to 9,239.47, 12,743.26 and 8,178.37

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Solution

The fourth proportional to 9,239.47, 12,743.26 and 8,178.37 is: 11,279.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,239.47 : 12,743.26 = 8,178.37 : x
  2. Step 2: Convert to fraction form
    9,239.47/12,743.26 = 8,178.37/x
  3. Step 3: Cross multiply
    9,239.47x = 12,743.26 × 8,178.37
  4. Step 4: Simplify right side
    9,239.47x = 104,219,095.29
  5. Step 5: Solve for x
    x = 104,219,095.29/9,239.47
  6. Step 6: Final answer
    x = 11,279.77

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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.