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Finding the Fourth Proportional to 9,419.75, 14,131.78 and 4,156.25

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Solution

The fourth proportional to 9,419.75, 14,131.78 and 4,156.25 is: 6,235.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.75 : 14,131.78 = 4,156.25 : x
  2. Step 2: Convert to fraction form
    9,419.75/14,131.78 = 4,156.25/x
  3. Step 3: Cross multiply
    9,419.75x = 14,131.78 × 4,156.25
  4. Step 4: Simplify right side
    9,419.75x = 58,735,210.63
  5. Step 5: Solve for x
    x = 58,735,210.63/9,419.75
  6. Step 6: Final answer
    x = 6,235.33

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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.