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Finding the Fourth Proportional to 7,229.67, 9,975.88 and 4,246.46

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Solution

The fourth proportional to 7,229.67, 9,975.88 and 4,246.46 is: 5,859.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.67 : 9,975.88 = 4,246.46 : x
  2. Step 2: Convert to fraction form
    7,229.67/9,975.88 = 4,246.46/x
  3. Step 3: Cross multiply
    7,229.67x = 9,975.88 × 4,246.46
  4. Step 4: Simplify right side
    7,229.67x = 42,362,184.34
  5. Step 5: Solve for x
    x = 42,362,184.34/7,229.67
  6. Step 6: Final answer
    x = 5,859.49

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