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Finding the Fourth Proportional to 9,544.62, 14,311.05 and 3,303.18

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Solution

The fourth proportional to 9,544.62, 14,311.05 and 3,303.18 is: 4,952.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.62 : 14,311.05 = 3,303.18 : x
  2. Step 2: Convert to fraction form
    9,544.62/14,311.05 = 3,303.18/x
  3. Step 3: Cross multiply
    9,544.62x = 14,311.05 × 3,303.18
  4. Step 4: Simplify right side
    9,544.62x = 47,271,974.14
  5. Step 5: Solve for x
    x = 47,271,974.14/9,544.62
  6. Step 6: Final answer
    x = 4,952.74

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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.