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Finding the Fourth Proportional to 6,219.24, 9,329.10 and 4,266.60

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Solution

The fourth proportional to 6,219.24, 9,329.10 and 4,266.60 is: 6,400.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,219.24 : 9,329.10 = 4,266.60 : x
  2. Step 2: Convert to fraction form
    6,219.24/9,329.10 = 4,266.60/x
  3. Step 3: Cross multiply
    6,219.24x = 9,329.10 × 4,266.60
  4. Step 4: Simplify right side
    6,219.24x = 39,803,538.06
  5. Step 5: Solve for x
    x = 39,803,538.06/6,219.24
  6. Step 6: Final answer
    x = 6,400.06

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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.