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Finding the Fourth Proportional to 8,552.16, 12,816.27 and 6,470.46

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Solution

The fourth proportional to 8,552.16, 12,816.27 and 6,470.46 is: 9,696.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,552.16 : 12,816.27 = 6,470.46 : x
  2. Step 2: Convert to fraction form
    8,552.16/12,816.27 = 6,470.46/x
  3. Step 3: Cross multiply
    8,552.16x = 12,816.27 × 6,470.46
  4. Step 4: Simplify right side
    8,552.16x = 82,927,162.38
  5. Step 5: Solve for x
    x = 82,927,162.38/8,552.16
  6. Step 6: Final answer
    x = 9,696.63

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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.