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Finding the Fourth Proportional to 9,304.35, 13,925.33 and 7,638.38

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Solution

The fourth proportional to 9,304.35, 13,925.33 and 7,638.38 is: 11,431.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,304.35 : 13,925.33 = 7,638.38 : x
  2. Step 2: Convert to fraction form
    9,304.35/13,925.33 = 7,638.38/x
  3. Step 3: Cross multiply
    9,304.35x = 13,925.33 × 7,638.38
  4. Step 4: Simplify right side
    9,304.35x = 106,367,016.07
  5. Step 5: Solve for x
    x = 106,367,016.07/9,304.35
  6. Step 6: Final answer
    x = 11,431.97

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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.