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Finding the Fourth Proportional to 6,837.76, 9,430.74 and 4,949.62

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Solution

The fourth proportional to 6,837.76, 9,430.74 and 4,949.62 is: 6,826.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.76 : 9,430.74 = 4,949.62 : x
  2. Step 2: Convert to fraction form
    6,837.76/9,430.74 = 4,949.62/x
  3. Step 3: Cross multiply
    6,837.76x = 9,430.74 × 4,949.62
  4. Step 4: Simplify right side
    6,837.76x = 46,678,579.32
  5. Step 5: Solve for x
    x = 46,678,579.32/6,837.76
  6. Step 6: Final answer
    x = 6,826.59

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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.