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Finding the Fourth Proportional to 9,830.70, 14,744.39 and 2,713.23

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Solution

The fourth proportional to 9,830.70, 14,744.39 and 2,713.23 is: 4,069.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.70 : 14,744.39 = 2,713.23 : x
  2. Step 2: Convert to fraction form
    9,830.70/14,744.39 = 2,713.23/x
  3. Step 3: Cross multiply
    9,830.70x = 14,744.39 × 2,713.23
  4. Step 4: Simplify right side
    9,830.70x = 40,004,907.71
  5. Step 5: Solve for x
    x = 40,004,907.71/9,830.70
  6. Step 6: Final answer
    x = 4,069.39

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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.