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Finding the Fourth Proportional to 9,419.80, 14,129.60 and 2,399.84

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Solution

The fourth proportional to 9,419.80, 14,129.60 and 2,399.84 is: 3,599.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.80 : 14,129.60 = 2,399.84 : x
  2. Step 2: Convert to fraction form
    9,419.80/14,129.60 = 2,399.84/x
  3. Step 3: Cross multiply
    9,419.80x = 14,129.60 × 2,399.84
  4. Step 4: Simplify right side
    9,419.80x = 33,908,779.26
  5. Step 5: Solve for x
    x = 33,908,779.26/9,419.80
  6. Step 6: Final answer
    x = 3,599.73

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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.