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Finding the Fourth Proportional to 7,214.75, 9,955.36 and 4,382.72

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Solution

The fourth proportional to 7,214.75, 9,955.36 and 4,382.72 is: 6,047.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.75 : 9,955.36 = 4,382.72 : x
  2. Step 2: Convert to fraction form
    7,214.75/9,955.36 = 4,382.72/x
  3. Step 3: Cross multiply
    7,214.75x = 9,955.36 × 4,382.72
  4. Step 4: Simplify right side
    7,214.75x = 43,631,555.38
  5. Step 5: Solve for x
    x = 43,631,555.38/7,214.75
  6. Step 6: Final answer
    x = 6,047.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.