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Finding the Fourth Proportional to 9,072.72, 13,607.84 and 2,497.96

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Solution

The fourth proportional to 9,072.72, 13,607.84 and 2,497.96 is: 3,746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072.72 : 13,607.84 = 2,497.96 : x
  2. Step 2: Convert to fraction form
    9,072.72/13,607.84 = 2,497.96/x
  3. Step 3: Cross multiply
    9,072.72x = 13,607.84 × 2,497.96
  4. Step 4: Simplify right side
    9,072.72x = 33,991,840.01
  5. Step 5: Solve for x
    x = 33,991,840.01/9,072.72
  6. Step 6: Final answer
    x = 3,746.60

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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.