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Finding the Fourth Proportional to 9,902.72, 13,664.94 and 5,425.52

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Solution

The fourth proportional to 9,902.72, 13,664.94 and 5,425.52 is: 7,486.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.72 : 13,664.94 = 5,425.52 : x
  2. Step 2: Convert to fraction form
    9,902.72/13,664.94 = 5,425.52/x
  3. Step 3: Cross multiply
    9,902.72x = 13,664.94 × 5,425.52
  4. Step 4: Simplify right side
    9,902.72x = 74,139,405.27
  5. Step 5: Solve for x
    x = 74,139,405.27/9,902.72
  6. Step 6: Final answer
    x = 7,486.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.