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Finding the Fourth Proportional to 9,899.09, 14,847.26 and 2,503.10

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Solution

The fourth proportional to 9,899.09, 14,847.26 and 2,503.10 is: 3,754.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.09 : 14,847.26 = 2,503.10 : x
  2. Step 2: Convert to fraction form
    9,899.09/14,847.26 = 2,503.10/x
  3. Step 3: Cross multiply
    9,899.09x = 14,847.26 × 2,503.10
  4. Step 4: Simplify right side
    9,899.09x = 37,164,089.75
  5. Step 5: Solve for x
    x = 37,164,089.75/9,899.09
  6. Step 6: Final answer
    x = 3,754.30

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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.