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Finding the Fourth Proportional to 9,476.41, 14,214.62 and 5,319.34

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Solution

The fourth proportional to 9,476.41, 14,214.62 and 5,319.34 is: 7,979.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.41 : 14,214.62 = 5,319.34 : x
  2. Step 2: Convert to fraction form
    9,476.41/14,214.62 = 5,319.34/x
  3. Step 3: Cross multiply
    9,476.41x = 14,214.62 × 5,319.34
  4. Step 4: Simplify right side
    9,476.41x = 75,612,396.75
  5. Step 5: Solve for x
    x = 75,612,396.75/9,476.41
  6. Step 6: Final answer
    x = 7,979.01

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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.