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Finding the Fourth Proportional to 9,271.43, 13,910.12 and 2,698.01

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Solution

The fourth proportional to 9,271.43, 13,910.12 and 2,698.01 is: 4,047.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.43 : 13,910.12 = 2,698.01 : x
  2. Step 2: Convert to fraction form
    9,271.43/13,910.12 = 2,698.01/x
  3. Step 3: Cross multiply
    9,271.43x = 13,910.12 × 2,698.01
  4. Step 4: Simplify right side
    9,271.43x = 37,529,674.26
  5. Step 5: Solve for x
    x = 37,529,674.26/9,271.43
  6. Step 6: Final answer
    x = 4,047.88

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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.