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Finding the Fourth Proportional to 9,857.22, 13,586.73 and 6,986.90

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Solution

The fourth proportional to 9,857.22, 13,586.73 and 6,986.90 is: 9,630.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.22 : 13,586.73 = 6,986.90 : x
  2. Step 2: Convert to fraction form
    9,857.22/13,586.73 = 6,986.90/x
  3. Step 3: Cross multiply
    9,857.22x = 13,586.73 × 6,986.90
  4. Step 4: Simplify right side
    9,857.22x = 94,929,055.90
  5. Step 5: Solve for x
    x = 94,929,055.90/9,857.22
  6. Step 6: Final answer
    x = 9,630.41

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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.