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Finding the Fourth Proportional to 9,910.54, 13,676.54 and 5,434.36

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Solution

The fourth proportional to 9,910.54, 13,676.54 and 5,434.36 is: 7,499.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.54 : 13,676.54 = 5,434.36 : x
  2. Step 2: Convert to fraction form
    9,910.54/13,676.54 = 5,434.36/x
  3. Step 3: Cross multiply
    9,910.54x = 13,676.54 × 5,434.36
  4. Step 4: Simplify right side
    9,910.54x = 74,323,231.84
  5. Step 5: Solve for x
    x = 74,323,231.84/9,910.54
  6. Step 6: Final answer
    x = 7,499.41

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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.