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Finding the Fourth Proportional to 9,786.66, 13,505.48 and 5,310.42

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Solution

The fourth proportional to 9,786.66, 13,505.48 and 5,310.42 is: 7,328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.66 : 13,505.48 = 5,310.42 : x
  2. Step 2: Convert to fraction form
    9,786.66/13,505.48 = 5,310.42/x
  3. Step 3: Cross multiply
    9,786.66x = 13,505.48 × 5,310.42
  4. Step 4: Simplify right side
    9,786.66x = 71,719,771.10
  5. Step 5: Solve for x
    x = 71,719,771.10/9,786.66
  6. Step 6: Final answer
    x = 7,328.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.