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Finding the Fourth Proportional to 6,116.38, 9,174.29 and 1,674.02

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Solution

The fourth proportional to 6,116.38, 9,174.29 and 1,674.02 is: 2,510.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116.38 : 9,174.29 = 1,674.02 : x
  2. Step 2: Convert to fraction form
    6,116.38/9,174.29 = 1,674.02/x
  3. Step 3: Cross multiply
    6,116.38x = 9,174.29 × 1,674.02
  4. Step 4: Simplify right side
    6,116.38x = 15,357,959.51
  5. Step 5: Solve for x
    x = 15,357,959.51/6,116.38
  6. Step 6: Final answer
    x = 2,510.96

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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.