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Finding the Fourth Proportional to 9,872.64, 13,624.27 and 5,396.45

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Solution

The fourth proportional to 9,872.64, 13,624.27 and 5,396.45 is: 7,447.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.64 : 13,624.27 = 5,396.45 : x
  2. Step 2: Convert to fraction form
    9,872.64/13,624.27 = 5,396.45/x
  3. Step 3: Cross multiply
    9,872.64x = 13,624.27 × 5,396.45
  4. Step 4: Simplify right side
    9,872.64x = 73,522,630.47
  5. Step 5: Solve for x
    x = 73,522,630.47/9,872.64
  6. Step 6: Final answer
    x = 7,447.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.