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Finding the Fourth Proportional to 6,300, 9,443.18 and 3,007.22

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Solution

The fourth proportional to 6,300, 9,443.18 and 3,007.22 is: 4,507.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300 : 9,443.18 = 3,007.22 : x
  2. Step 2: Convert to fraction form
    6,300/9,443.18 = 3,007.22/x
  3. Step 3: Cross multiply
    6,300x = 9,443.18 × 3,007.22
  4. Step 4: Simplify right side
    6,300x = 28,397,680.06
  5. Step 5: Solve for x
    x = 28,397,680.06/6,300
  6. Step 6: Final answer
    x = 4,507.57

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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.