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Finding the Fourth Proportional to 9,910.26, 13,676.05 and 5,434.00

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Solution

The fourth proportional to 9,910.26, 13,676.05 and 5,434.00 is: 7,498.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.26 : 13,676.05 = 5,434.00 : x
  2. Step 2: Convert to fraction form
    9,910.26/13,676.05 = 5,434.00/x
  3. Step 3: Cross multiply
    9,910.26x = 13,676.05 × 5,434.00
  4. Step 4: Simplify right side
    9,910.26x = 74,315,621.51
  5. Step 5: Solve for x
    x = 74,315,621.51/9,910.26
  6. Step 6: Final answer
    x = 7,498.86

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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.