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Finding the Fourth Proportional to 6,300.36, 9,451.56 and 2,140.74

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Solution

The fourth proportional to 6,300.36, 9,451.56 and 2,140.74 is: 3,211.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300.36 : 9,451.56 = 2,140.74 : x
  2. Step 2: Convert to fraction form
    6,300.36/9,451.56 = 2,140.74/x
  3. Step 3: Cross multiply
    6,300.36x = 9,451.56 × 2,140.74
  4. Step 4: Simplify right side
    6,300.36x = 20,233,332.55
  5. Step 5: Solve for x
    x = 20,233,332.55/6,300.36
  6. Step 6: Final answer
    x = 3,211.46

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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.