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Finding the Fourth Proportional to 9,898.94, 14,846.97 and 3,741.50

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Solution

The fourth proportional to 9,898.94, 14,846.97 and 3,741.50 is: 5,611.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.94 : 14,846.97 = 3,741.50 : x
  2. Step 2: Convert to fraction form
    9,898.94/14,846.97 = 3,741.50/x
  3. Step 3: Cross multiply
    9,898.94x = 14,846.97 × 3,741.50
  4. Step 4: Simplify right side
    9,898.94x = 55,549,938.26
  5. Step 5: Solve for x
    x = 55,549,938.26/9,898.94
  6. Step 6: Final answer
    x = 5,611.71

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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.