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Finding the Fourth Proportional to 6,690.18, 9,222.12 and 5,509.20

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Solution

The fourth proportional to 6,690.18, 9,222.12 and 5,509.20 is: 7,594.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,690.18 : 9,222.12 = 5,509.20 : x
  2. Step 2: Convert to fraction form
    6,690.18/9,222.12 = 5,509.20/x
  3. Step 3: Cross multiply
    6,690.18x = 9,222.12 × 5,509.20
  4. Step 4: Simplify right side
    6,690.18x = 50,806,503.50
  5. Step 5: Solve for x
    x = 50,806,503.50/6,690.18
  6. Step 6: Final answer
    x = 7,594.19

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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.