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Finding the Fourth Proportional to 7,071.40, 9,734.02 and 6,113.86

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Solution

The fourth proportional to 7,071.40, 9,734.02 and 6,113.86 is: 8,415.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.40 : 9,734.02 = 6,113.86 : x
  2. Step 2: Convert to fraction form
    7,071.40/9,734.02 = 6,113.86/x
  3. Step 3: Cross multiply
    7,071.40x = 9,734.02 × 6,113.86
  4. Step 4: Simplify right side
    7,071.40x = 59,512,435.52
  5. Step 5: Solve for x
    x = 59,512,435.52/7,071.40
  6. Step 6: Final answer
    x = 8,415.93

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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.