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Finding the Fourth Proportional to 7,225.85, 9,968.72 and 5,727.75

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Solution

The fourth proportional to 7,225.85, 9,968.72 and 5,727.75 is: 7,901.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.85 : 9,968.72 = 5,727.75 : x
  2. Step 2: Convert to fraction form
    7,225.85/9,968.72 = 5,727.75/x
  3. Step 3: Cross multiply
    7,225.85x = 9,968.72 × 5,727.75
  4. Step 4: Simplify right side
    7,225.85x = 57,098,307.34
  5. Step 5: Solve for x
    x = 57,098,307.34/7,225.85
  6. Step 6: Final answer
    x = 7,901.96

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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.