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Finding the Fourth Proportional to 9,154.65, 13,734.08 and 3,311.26

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Solution

The fourth proportional to 9,154.65, 13,734.08 and 3,311.26 is: 4,967.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.65 : 13,734.08 = 3,311.26 : x
  2. Step 2: Convert to fraction form
    9,154.65/13,734.08 = 3,311.26/x
  3. Step 3: Cross multiply
    9,154.65x = 13,734.08 × 3,311.26
  4. Step 4: Simplify right side
    9,154.65x = 45,477,109.74
  5. Step 5: Solve for x
    x = 45,477,109.74/9,154.65
  6. Step 6: Final answer
    x = 4,967.65

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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.