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Finding the Fourth Proportional to 9,235.71, 13,915.91 and 7,628.27

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Solution

The fourth proportional to 9,235.71, 13,915.91 and 7,628.27 is: 11,493.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.71 : 13,915.91 = 7,628.27 : x
  2. Step 2: Convert to fraction form
    9,235.71/13,915.91 = 7,628.27/x
  3. Step 3: Cross multiply
    9,235.71x = 13,915.91 × 7,628.27
  4. Step 4: Simplify right side
    9,235.71x = 106,154,211.05
  5. Step 5: Solve for x
    x = 106,154,211.05/9,235.71
  6. Step 6: Final answer
    x = 11,493.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.