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Finding the Fourth Proportional to 9,154.66, 13,728.74 and 3,957.70

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Solution

The fourth proportional to 9,154.66, 13,728.74 and 3,957.70 is: 5,935.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.66 : 13,728.74 = 3,957.70 : x
  2. Step 2: Convert to fraction form
    9,154.66/13,728.74 = 3,957.70/x
  3. Step 3: Cross multiply
    9,154.66x = 13,728.74 × 3,957.70
  4. Step 4: Simplify right side
    9,154.66x = 54,334,234.30
  5. Step 5: Solve for x
    x = 54,334,234.30/9,154.66
  6. Step 6: Final answer
    x = 5,935.14

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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.