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Finding the Fourth Proportional to 9,794.69, 14,688.93 and 3,219.35

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Solution

The fourth proportional to 9,794.69, 14,688.93 and 3,219.35 is: 4,828.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.69 : 14,688.93 = 3,219.35 : x
  2. Step 2: Convert to fraction form
    9,794.69/14,688.93 = 3,219.35/x
  3. Step 3: Cross multiply
    9,794.69x = 14,688.93 × 3,219.35
  4. Step 4: Simplify right side
    9,794.69x = 47,288,806.80
  5. Step 5: Solve for x
    x = 47,288,806.80/9,794.69
  6. Step 6: Final answer
    x = 4,828.00

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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.