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Finding the Fourth Proportional to 9,215.47, 13,764.47 and 8,336.62

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Solution

The fourth proportional to 9,215.47, 13,764.47 and 8,336.62 is: 12,451.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215.47 : 13,764.47 = 8,336.62 : x
  2. Step 2: Convert to fraction form
    9,215.47/13,764.47 = 8,336.62/x
  3. Step 3: Cross multiply
    9,215.47x = 13,764.47 × 8,336.62
  4. Step 4: Simplify right side
    9,215.47x = 114,749,155.89
  5. Step 5: Solve for x
    x = 114,749,155.89/9,215.47
  6. Step 6: Final answer
    x = 12,451.80

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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.