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Finding the Fourth Proportional to 6,989.00, 9,644.99 and 3,802.47

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Solution

The fourth proportional to 6,989.00, 9,644.99 and 3,802.47 is: 5,247.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.00 : 9,644.99 = 3,802.47 : x
  2. Step 2: Convert to fraction form
    6,989.00/9,644.99 = 3,802.47/x
  3. Step 3: Cross multiply
    6,989.00x = 9,644.99 × 3,802.47
  4. Step 4: Simplify right side
    6,989.00x = 36,674,766.11
  5. Step 5: Solve for x
    x = 36,674,766.11/6,989.00
  6. Step 6: Final answer
    x = 5,247.50

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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.