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Finding the Fourth Proportional to 6,306.74, 9,459.48 and 1,924.28

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Solution

The fourth proportional to 6,306.74, 9,459.48 and 1,924.28 is: 2,886.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.74 : 9,459.48 = 1,924.28 : x
  2. Step 2: Convert to fraction form
    6,306.74/9,459.48 = 1,924.28/x
  3. Step 3: Cross multiply
    6,306.74x = 9,459.48 × 1,924.28
  4. Step 4: Simplify right side
    6,306.74x = 18,202,688.17
  5. Step 5: Solve for x
    x = 18,202,688.17/6,306.74
  6. Step 6: Final answer
    x = 2,886.23

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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.