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Finding the Fourth Proportional to 9,072.32, 13,599.84 and 2,912

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Solution

The fourth proportional to 9,072.32, 13,599.84 and 2,912 is: 4,365.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072.32 : 13,599.84 = 2,912 : x
  2. Step 2: Convert to fraction form
    9,072.32/13,599.84 = 2,912/x
  3. Step 3: Cross multiply
    9,072.32x = 13,599.84 × 2,912
  4. Step 4: Simplify right side
    9,072.32x = 39,602,734.08
  5. Step 5: Solve for x
    x = 39,602,734.08/9,072.32
  6. Step 6: Final answer
    x = 4,365.23

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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.