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Finding the Fourth Proportional to 7,222.50, 9,967.14 and 4,078.71

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Solution

The fourth proportional to 7,222.50, 9,967.14 and 4,078.71 is: 5,628.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.50 : 9,967.14 = 4,078.71 : x
  2. Step 2: Convert to fraction form
    7,222.50/9,967.14 = 4,078.71/x
  3. Step 3: Cross multiply
    7,222.50x = 9,967.14 × 4,078.71
  4. Step 4: Simplify right side
    7,222.50x = 40,653,073.59
  5. Step 5: Solve for x
    x = 40,653,073.59/7,222.50
  6. Step 6: Final answer
    x = 5,628.67

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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.