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Finding the Fourth Proportional to 9,667.76, 14,476.42 and 5,276.14

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Solution

The fourth proportional to 9,667.76, 14,476.42 and 5,276.14 is: 7,900.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.76 : 14,476.42 = 5,276.14 : x
  2. Step 2: Convert to fraction form
    9,667.76/14,476.42 = 5,276.14/x
  3. Step 3: Cross multiply
    9,667.76x = 14,476.42 × 5,276.14
  4. Step 4: Simplify right side
    9,667.76x = 76,379,618.62
  5. Step 5: Solve for x
    x = 76,379,618.62/9,667.76
  6. Step 6: Final answer
    x = 7,900.45

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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.