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Finding the Fourth Proportional to 9,972.34, 13,762 and 5,496.06

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Solution

The fourth proportional to 9,972.34, 13,762 and 5,496.06 is: 7,584.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972.34 : 13,762 = 5,496.06 : x
  2. Step 2: Convert to fraction form
    9,972.34/13,762 = 5,496.06/x
  3. Step 3: Cross multiply
    9,972.34x = 13,762 × 5,496.06
  4. Step 4: Simplify right side
    9,972.34x = 75,636,777.72
  5. Step 5: Solve for x
    x = 75,636,777.72/9,972.34
  6. Step 6: Final answer
    x = 7,584.66

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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.