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Finding the Fourth Proportional to 9,072.32, 13,605.60 and 3,225.60

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Solution

The fourth proportional to 9,072.32, 13,605.60 and 3,225.60 is: 4,837.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072.32 : 13,605.60 = 3,225.60 : x
  2. Step 2: Convert to fraction form
    9,072.32/13,605.60 = 3,225.60/x
  3. Step 3: Cross multiply
    9,072.32x = 13,605.60 × 3,225.60
  4. Step 4: Simplify right side
    9,072.32x = 43,886,223.36
  5. Step 5: Solve for x
    x = 43,886,223.36/9,072.32
  6. Step 6: Final answer
    x = 4,837.38

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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.