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Finding the Fourth Proportional to 9,910.06, 13,675.80 and 5,434.10

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Solution

The fourth proportional to 9,910.06, 13,675.80 and 5,434.10 is: 7,499.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.06 : 13,675.80 = 5,434.10 : x
  2. Step 2: Convert to fraction form
    9,910.06/13,675.80 = 5,434.10/x
  3. Step 3: Cross multiply
    9,910.06x = 13,675.80 × 5,434.10
  4. Step 4: Simplify right side
    9,910.06x = 74,315,664.78
  5. Step 5: Solve for x
    x = 74,315,664.78/9,910.06
  6. Step 6: Final answer
    x = 7,499.01

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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.