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Finding the Fourth Proportional to 9,672.02, 14,500.94 and 3,094.42

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Solution

The fourth proportional to 9,672.02, 14,500.94 and 3,094.42 is: 4,639.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.02 : 14,500.94 = 3,094.42 : x
  2. Step 2: Convert to fraction form
    9,672.02/14,500.94 = 3,094.42/x
  3. Step 3: Cross multiply
    9,672.02x = 14,500.94 × 3,094.42
  4. Step 4: Simplify right side
    9,672.02x = 44,871,998.75
  5. Step 5: Solve for x
    x = 44,871,998.75/9,672.02
  6. Step 6: Final answer
    x = 4,639.36

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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.