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Finding the Fourth Proportional to 6,845.91, 9,447.35 and 3,702.10

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Solution

The fourth proportional to 6,845.91, 9,447.35 and 3,702.10 is: 5,108.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845.91 : 9,447.35 = 3,702.10 : x
  2. Step 2: Convert to fraction form
    6,845.91/9,447.35 = 3,702.10/x
  3. Step 3: Cross multiply
    6,845.91x = 9,447.35 × 3,702.10
  4. Step 4: Simplify right side
    6,845.91x = 34,974,987.20
  5. Step 5: Solve for x
    x = 34,974,987.20/6,845.91
  6. Step 6: Final answer
    x = 5,108.89

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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.