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Finding the Fourth Proportional to 7,225.71, 9,964.72 and 4,568.37

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Solution

The fourth proportional to 7,225.71, 9,964.72 and 4,568.37 is: 6,300.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.71 : 9,964.72 = 4,568.37 : x
  2. Step 2: Convert to fraction form
    7,225.71/9,964.72 = 4,568.37/x
  3. Step 3: Cross multiply
    7,225.71x = 9,964.72 × 4,568.37
  4. Step 4: Simplify right side
    7,225.71x = 45,522,527.91
  5. Step 5: Solve for x
    x = 45,522,527.91/7,225.71
  6. Step 6: Final answer
    x = 6,300.08

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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.