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Finding the Fourth Proportional to 9,737.84, 13,438.92 and 5,546.36

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Solution

The fourth proportional to 9,737.84, 13,438.92 and 5,546.36 is: 7,654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.84 : 13,438.92 = 5,546.36 : x
  2. Step 2: Convert to fraction form
    9,737.84/13,438.92 = 5,546.36/x
  3. Step 3: Cross multiply
    9,737.84x = 13,438.92 × 5,546.36
  4. Step 4: Simplify right side
    9,737.84x = 74,537,088.33
  5. Step 5: Solve for x
    x = 74,537,088.33/9,737.84
  6. Step 6: Final answer
    x = 7,654.38

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Why These Related Problems?

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