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Finding the Fourth Proportional to 9,989.44, 14,984.40 and 3,064

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Solution

The fourth proportional to 9,989.44, 14,984.40 and 3,064 is: 4,596.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.44 : 14,984.40 = 3,064 : x
  2. Step 2: Convert to fraction form
    9,989.44/14,984.40 = 3,064/x
  3. Step 3: Cross multiply
    9,989.44x = 14,984.40 × 3,064
  4. Step 4: Simplify right side
    9,989.44x = 45,912,201.60
  5. Step 5: Solve for x
    x = 45,912,201.60/9,989.44
  6. Step 6: Final answer
    x = 4,596.07

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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.