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Finding the Fourth Proportional to 9,154.84, 13,732.26 and 3,311.32

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Solution

The fourth proportional to 9,154.84, 13,732.26 and 3,311.32 is: 4,966.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.84 : 13,732.26 = 3,311.32 : x
  2. Step 2: Convert to fraction form
    9,154.84/13,732.26 = 3,311.32/x
  3. Step 3: Cross multiply
    9,154.84x = 13,732.26 × 3,311.32
  4. Step 4: Simplify right side
    9,154.84x = 45,471,907.18
  5. Step 5: Solve for x
    x = 45,471,907.18/9,154.84
  6. Step 6: Final answer
    x = 4,966.98

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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.