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Finding the Fourth Proportional to 6,083.20, 9,117.96 and 4,618

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Solution

The fourth proportional to 6,083.20, 9,117.96 and 4,618 is: 6,921.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,083.20 : 9,117.96 = 4,618 : x
  2. Step 2: Convert to fraction form
    6,083.20/9,117.96 = 4,618/x
  3. Step 3: Cross multiply
    6,083.20x = 9,117.96 × 4,618
  4. Step 4: Simplify right side
    6,083.20x = 42,106,739.28
  5. Step 5: Solve for x
    x = 42,106,739.28/6,083.20
  6. Step 6: Final answer
    x = 6,921.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.