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Finding the Fourth Proportional to 7,219.02, 9,969.12 and 6,825.91

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Solution

The fourth proportional to 7,219.02, 9,969.12 and 6,825.91 is: 9,426.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.02 : 9,969.12 = 6,825.91 : x
  2. Step 2: Convert to fraction form
    7,219.02/9,969.12 = 6,825.91/x
  3. Step 3: Cross multiply
    7,219.02x = 9,969.12 × 6,825.91
  4. Step 4: Simplify right side
    7,219.02x = 68,048,315.90
  5. Step 5: Solve for x
    x = 68,048,315.90/7,219.02
  6. Step 6: Final answer
    x = 9,426.25

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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.