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Finding the Fourth Proportional to 7,071.72, 9,753.44 and 4,946.54

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Solution

The fourth proportional to 7,071.72, 9,753.44 and 4,946.54 is: 6,822.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.72 : 9,753.44 = 4,946.54 : x
  2. Step 2: Convert to fraction form
    7,071.72/9,753.44 = 4,946.54/x
  3. Step 3: Cross multiply
    7,071.72x = 9,753.44 × 4,946.54
  4. Step 4: Simplify right side
    7,071.72x = 48,245,781.10
  5. Step 5: Solve for x
    x = 48,245,781.10/7,071.72
  6. Step 6: Final answer
    x = 6,822.35

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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.