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Finding the Fourth Proportional to 9,486.54, 14,226.17 and 6,555.96

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Solution

The fourth proportional to 9,486.54, 14,226.17 and 6,555.96 is: 9,831.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.54 : 14,226.17 = 6,555.96 : x
  2. Step 2: Convert to fraction form
    9,486.54/14,226.17 = 6,555.96/x
  3. Step 3: Cross multiply
    9,486.54x = 14,226.17 × 6,555.96
  4. Step 4: Simplify right side
    9,486.54x = 93,266,168.69
  5. Step 5: Solve for x
    x = 93,266,168.69/9,486.54
  6. Step 6: Final answer
    x = 9,831.42

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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.