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Finding the Fourth Proportional to 9,248.14, 13,872.22 and 2,322.64

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Solution

The fourth proportional to 9,248.14, 13,872.22 and 2,322.64 is: 3,483.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.14 : 13,872.22 = 2,322.64 : x
  2. Step 2: Convert to fraction form
    9,248.14/13,872.22 = 2,322.64/x
  3. Step 3: Cross multiply
    9,248.14x = 13,872.22 × 2,322.64
  4. Step 4: Simplify right side
    9,248.14x = 32,220,173.06
  5. Step 5: Solve for x
    x = 32,220,173.06/9,248.14
  6. Step 6: Final answer
    x = 3,483.96

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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.