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Finding the Fourth Proportional to 9,698.37, 14,549.40 and 3,122.79

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Solution

The fourth proportional to 9,698.37, 14,549.40 and 3,122.79 is: 4,684.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.37 : 14,549.40 = 3,122.79 : x
  2. Step 2: Convert to fraction form
    9,698.37/14,549.40 = 3,122.79/x
  3. Step 3: Cross multiply
    9,698.37x = 14,549.40 × 3,122.79
  4. Step 4: Simplify right side
    9,698.37x = 45,434,720.83
  5. Step 5: Solve for x
    x = 45,434,720.83/9,698.37
  6. Step 6: Final answer
    x = 4,684.78

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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.