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Finding the Fourth Proportional to 9,737.72, 13,438.03 and 5,261.45

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Solution

The fourth proportional to 9,737.72, 13,438.03 and 5,261.45 is: 7,260.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.72 : 13,438.03 = 5,261.45 : x
  2. Step 2: Convert to fraction form
    9,737.72/13,438.03 = 5,261.45/x
  3. Step 3: Cross multiply
    9,737.72x = 13,438.03 × 5,261.45
  4. Step 4: Simplify right side
    9,737.72x = 70,703,522.94
  5. Step 5: Solve for x
    x = 70,703,522.94/9,737.72
  6. Step 6: Final answer
    x = 7,260.79

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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.