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Finding the Fourth Proportional to 9,786.26, 13,505.10 and 5,310.02

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Solution

The fourth proportional to 9,786.26, 13,505.10 and 5,310.02 is: 7,327.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.26 : 13,505.10 = 5,310.02 : x
  2. Step 2: Convert to fraction form
    9,786.26/13,505.10 = 5,310.02/x
  3. Step 3: Cross multiply
    9,786.26x = 13,505.10 × 5,310.02
  4. Step 4: Simplify right side
    9,786.26x = 71,712,364.95
  5. Step 5: Solve for x
    x = 71,712,364.95/9,786.26
  6. Step 6: Final answer
    x = 7,327.86

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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.