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Finding the Fourth Proportional to 6,913.06, 9,539.70 and 4,260.72

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Solution

The fourth proportional to 6,913.06, 9,539.70 and 4,260.72 is: 5,879.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,913.06 : 9,539.70 = 4,260.72 : x
  2. Step 2: Convert to fraction form
    6,913.06/9,539.70 = 4,260.72/x
  3. Step 3: Cross multiply
    6,913.06x = 9,539.70 × 4,260.72
  4. Step 4: Simplify right side
    6,913.06x = 40,645,990.58
  5. Step 5: Solve for x
    x = 40,645,990.58/6,913.06
  6. Step 6: Final answer
    x = 5,879.59

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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.