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Finding the Fourth Proportional to 6,846.06, 9,447.58 and 3,702.28

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Solution

The fourth proportional to 6,846.06, 9,447.58 and 3,702.28 is: 5,109.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.06 : 9,447.58 = 3,702.28 : x
  2. Step 2: Convert to fraction form
    6,846.06/9,447.58 = 3,702.28/x
  3. Step 3: Cross multiply
    6,846.06x = 9,447.58 × 3,702.28
  4. Step 4: Simplify right side
    6,846.06x = 34,977,586.48
  5. Step 5: Solve for x
    x = 34,977,586.48/6,846.06
  6. Step 6: Final answer
    x = 5,109.16

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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.