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Finding the Fourth Proportional to 9,684.60, 14,519.70 and 4,133.40

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Solution

The fourth proportional to 9,684.60, 14,519.70 and 4,133.40 is: 6,197.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.60 : 14,519.70 = 4,133.40 : x
  2. Step 2: Convert to fraction form
    9,684.60/14,519.70 = 4,133.40/x
  3. Step 3: Cross multiply
    9,684.60x = 14,519.70 × 4,133.40
  4. Step 4: Simplify right side
    9,684.60x = 60,015,727.98
  5. Step 5: Solve for x
    x = 60,015,727.98/9,684.60
  6. Step 6: Final answer
    x = 6,197.03

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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.