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Finding the Fourth Proportional to 9,872.77, 13,624.67 and 5,396.71

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Solution

The fourth proportional to 9,872.77, 13,624.67 and 5,396.71 is: 7,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.77 : 13,624.67 = 5,396.71 : x
  2. Step 2: Convert to fraction form
    9,872.77/13,624.67 = 5,396.71/x
  3. Step 3: Cross multiply
    9,872.77x = 13,624.67 × 5,396.71
  4. Step 4: Simplify right side
    9,872.77x = 73,528,392.84
  5. Step 5: Solve for x
    x = 73,528,392.84/9,872.77
  6. Step 6: Final answer
    x = 7,447.60

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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.