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Finding the Fourth Proportional to 9,527.22, 14,251.95 and 7,680.42

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Solution

The fourth proportional to 9,527.22, 14,251.95 and 7,680.42 is: 11,489.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.22 : 14,251.95 = 7,680.42 : x
  2. Step 2: Convert to fraction form
    9,527.22/14,251.95 = 7,680.42/x
  3. Step 3: Cross multiply
    9,527.22x = 14,251.95 × 7,680.42
  4. Step 4: Simplify right side
    9,527.22x = 109,460,961.82
  5. Step 5: Solve for x
    x = 109,460,961.82/9,527.22
  6. Step 6: Final answer
    x = 11,489.29

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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.