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Finding the Fourth Proportional to 6,304.70, 9,458.07 and 1,921.13

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Solution

The fourth proportional to 6,304.70, 9,458.07 and 1,921.13 is: 2,882.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.70 : 9,458.07 = 1,921.13 : x
  2. Step 2: Convert to fraction form
    6,304.70/9,458.07 = 1,921.13/x
  3. Step 3: Cross multiply
    6,304.70x = 9,458.07 × 1,921.13
  4. Step 4: Simplify right side
    6,304.70x = 18,170,182.02
  5. Step 5: Solve for x
    x = 18,170,182.02/6,304.70
  6. Step 6: Final answer
    x = 2,882.01

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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.