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Finding the Fourth Proportional to 9,616.34, 14,426.46 and 4,069.70

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Solution

The fourth proportional to 9,616.34, 14,426.46 and 4,069.70 is: 6,105.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.34 : 14,426.46 = 4,069.70 : x
  2. Step 2: Convert to fraction form
    9,616.34/14,426.46 = 4,069.70/x
  3. Step 3: Cross multiply
    9,616.34x = 14,426.46 × 4,069.70
  4. Step 4: Simplify right side
    9,616.34x = 58,711,364.26
  5. Step 5: Solve for x
    x = 58,711,364.26/9,616.34
  6. Step 6: Final answer
    x = 6,105.38

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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.