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Finding the Fourth Proportional to 6,096.66, 9,142.47 and 2,398.38

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Solution

The fourth proportional to 6,096.66, 9,142.47 and 2,398.38 is: 3,596.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.66 : 9,142.47 = 2,398.38 : x
  2. Step 2: Convert to fraction form
    6,096.66/9,142.47 = 2,398.38/x
  3. Step 3: Cross multiply
    6,096.66x = 9,142.47 × 2,398.38
  4. Step 4: Simplify right side
    6,096.66x = 21,927,117.20
  5. Step 5: Solve for x
    x = 21,927,117.20/6,096.66
  6. Step 6: Final answer
    x = 3,596.58

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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.