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Finding the Fourth Proportional to 7,071.40, 9,753.78 and 4,556.71

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Solution

The fourth proportional to 7,071.40, 9,753.78 and 4,556.71 is: 6,285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.40 : 9,753.78 = 4,556.71 : x
  2. Step 2: Convert to fraction form
    7,071.40/9,753.78 = 4,556.71/x
  3. Step 3: Cross multiply
    7,071.40x = 9,753.78 × 4,556.71
  4. Step 4: Simplify right side
    7,071.40x = 44,445,146.86
  5. Step 5: Solve for x
    x = 44,445,146.86/7,071.40
  6. Step 6: Final answer
    x = 6,285.20

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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.