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Finding the Fourth Proportional to 9,072.60, 13,592.10 and 5,165.40

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Solution

The fourth proportional to 9,072.60, 13,592.10 and 5,165.40 is: 7,738.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072.60 : 13,592.10 = 5,165.40 : x
  2. Step 2: Convert to fraction form
    9,072.60/13,592.10 = 5,165.40/x
  3. Step 3: Cross multiply
    9,072.60x = 13,592.10 × 5,165.40
  4. Step 4: Simplify right side
    9,072.60x = 70,208,633.34
  5. Step 5: Solve for x
    x = 70,208,633.34/9,072.60
  6. Step 6: Final answer
    x = 7,738.54

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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.