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Finding the Fourth Proportional to 23,094.72, 34,638.60 and 6,453

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Solution

The fourth proportional to 23,094.72, 34,638.60 and 6,453 is: 9,678.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,094.72 : 34,638.60 = 6,453 : x
  2. Step 2: Convert to fraction form
    23,094.72/34,638.60 = 6,453/x
  3. Step 3: Cross multiply
    23,094.72x = 34,638.60 × 6,453
  4. Step 4: Simplify right side
    23,094.72x = 223,522,885.80
  5. Step 5: Solve for x
    x = 223,522,885.80/23,094.72
  6. Step 6: Final answer
    x = 9,678.53

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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.