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Finding the Fourth Proportional to 9,306.35, 13,958.06 and 7,735.16

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Solution

The fourth proportional to 9,306.35, 13,958.06 and 7,735.16 is: 11,601.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.35 : 13,958.06 = 7,735.16 : x
  2. Step 2: Convert to fraction form
    9,306.35/13,958.06 = 7,735.16/x
  3. Step 3: Cross multiply
    9,306.35x = 13,958.06 × 7,735.16
  4. Step 4: Simplify right side
    9,306.35x = 107,967,718.92
  5. Step 5: Solve for x
    x = 107,967,718.92/9,306.35
  6. Step 6: Final answer
    x = 11,601.52

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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.