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Finding the Fourth Proportional to 9,306.59, 13,956.98 and 3,065.20

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Solution

The fourth proportional to 9,306.59, 13,956.98 and 3,065.20 is: 4,596.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.59 : 13,956.98 = 3,065.20 : x
  2. Step 2: Convert to fraction form
    9,306.59/13,956.98 = 3,065.20/x
  3. Step 3: Cross multiply
    9,306.59x = 13,956.98 × 3,065.20
  4. Step 4: Simplify right side
    9,306.59x = 42,780,884.88
  5. Step 5: Solve for x
    x = 42,780,884.88/9,306.59
  6. Step 6: Final answer
    x = 4,596.84

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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.