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Finding the Fourth Proportional to 9,246.48, 13,888.80 and 8,847.24

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Solution

The fourth proportional to 9,246.48, 13,888.80 and 8,847.24 is: 13,289.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.48 : 13,888.80 = 8,847.24 : x
  2. Step 2: Convert to fraction form
    9,246.48/13,888.80 = 8,847.24/x
  3. Step 3: Cross multiply
    9,246.48x = 13,888.80 × 8,847.24
  4. Step 4: Simplify right side
    9,246.48x = 122,877,546.91
  5. Step 5: Solve for x
    x = 122,877,546.91/9,246.48
  6. Step 6: Final answer
    x = 13,289.12

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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.