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Finding the Fourth Proportional to 9,218.47, 13,768.94 and 8,339.62

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Solution

The fourth proportional to 9,218.47, 13,768.94 and 8,339.62 is: 12,456.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,218.47 : 13,768.94 = 8,339.62 : x
  2. Step 2: Convert to fraction form
    9,218.47/13,768.94 = 8,339.62/x
  3. Step 3: Cross multiply
    9,218.47x = 13,768.94 × 8,339.62
  4. Step 4: Simplify right side
    9,218.47x = 114,827,727.40
  5. Step 5: Solve for x
    x = 114,827,727.40/9,218.47
  6. Step 6: Final answer
    x = 12,456.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.