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Finding the Fourth Proportional to 9,154.41, 13,732.06 and 4,222.72

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Solution

The fourth proportional to 9,154.41, 13,732.06 and 4,222.72 is: 6,334.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.41 : 13,732.06 = 4,222.72 : x
  2. Step 2: Convert to fraction form
    9,154.41/13,732.06 = 4,222.72/x
  3. Step 3: Cross multiply
    9,154.41x = 13,732.06 × 4,222.72
  4. Step 4: Simplify right side
    9,154.41x = 57,986,644.40
  5. Step 5: Solve for x
    x = 57,986,644.40/9,154.41
  6. Step 6: Final answer
    x = 6,334.29

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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.