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Finding the Fourth Proportional to 7,209.44, 10,830.48 and 6,225.28

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Solution

The fourth proportional to 7,209.44, 10,830.48 and 6,225.28 is: 9,352.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.44 : 10,830.48 = 6,225.28 : x
  2. Step 2: Convert to fraction form
    7,209.44/10,830.48 = 6,225.28/x
  3. Step 3: Cross multiply
    7,209.44x = 10,830.48 × 6,225.28
  4. Step 4: Simplify right side
    7,209.44x = 67,422,770.53
  5. Step 5: Solve for x
    x = 67,422,770.53/7,209.44
  6. Step 6: Final answer
    x = 9,352.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.