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Finding the Fourth Proportional to 7,011.28, 9,674.22 and 4,216.96

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Solution

The fourth proportional to 7,011.28, 9,674.22 and 4,216.96 is: 5,818.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011.28 : 9,674.22 = 4,216.96 : x
  2. Step 2: Convert to fraction form
    7,011.28/9,674.22 = 4,216.96/x
  3. Step 3: Cross multiply
    7,011.28x = 9,674.22 × 4,216.96
  4. Step 4: Simplify right side
    7,011.28x = 40,795,798.77
  5. Step 5: Solve for x
    x = 40,795,798.77/7,011.28
  6. Step 6: Final answer
    x = 5,818.60

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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.