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Finding the Fourth Proportional to 9,095.46, 13,628.62 and 8,220.66

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Solution

The fourth proportional to 9,095.46, 13,628.62 and 8,220.66 is: 12,317.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,095.46 : 13,628.62 = 8,220.66 : x
  2. Step 2: Convert to fraction form
    9,095.46/13,628.62 = 8,220.66/x
  3. Step 3: Cross multiply
    9,095.46x = 13,628.62 × 8,220.66
  4. Step 4: Simplify right side
    9,095.46x = 112,036,251.29
  5. Step 5: Solve for x
    x = 112,036,251.29/9,095.46
  6. Step 6: Final answer
    x = 12,317.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.