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Finding the Fourth Proportional to 9,866.30, 14,800.23 and 3,292.49

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Solution

The fourth proportional to 9,866.30, 14,800.23 and 3,292.49 is: 4,938.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.30 : 14,800.23 = 3,292.49 : x
  2. Step 2: Convert to fraction form
    9,866.30/14,800.23 = 3,292.49/x
  3. Step 3: Cross multiply
    9,866.30x = 14,800.23 × 3,292.49
  4. Step 4: Simplify right side
    9,866.30x = 48,729,518.81
  5. Step 5: Solve for x
    x = 48,729,518.81/9,866.30
  6. Step 6: Final answer
    x = 4,938.99

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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.