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Finding the Fourth Proportional to 6,851.06, 9,430.74 and 5,910.02

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Solution

The fourth proportional to 6,851.06, 9,430.74 and 5,910.02 is: 8,135.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.06 : 9,430.74 = 5,910.02 : x
  2. Step 2: Convert to fraction form
    6,851.06/9,430.74 = 5,910.02/x
  3. Step 3: Cross multiply
    6,851.06x = 9,430.74 × 5,910.02
  4. Step 4: Simplify right side
    6,851.06x = 55,735,862.01
  5. Step 5: Solve for x
    x = 55,735,862.01/6,851.06
  6. Step 6: Final answer
    x = 8,135.36

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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.