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Finding the Fourth Proportional to 9,550.25, 14,331.14 and 4,078.25

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Solution

The fourth proportional to 9,550.25, 14,331.14 and 4,078.25 is: 6,119.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,550.25 : 14,331.14 = 4,078.25 : x
  2. Step 2: Convert to fraction form
    9,550.25/14,331.14 = 4,078.25/x
  3. Step 3: Cross multiply
    9,550.25x = 14,331.14 × 4,078.25
  4. Step 4: Simplify right side
    9,550.25x = 58,445,971.71
  5. Step 5: Solve for x
    x = 58,445,971.71/9,550.25
  6. Step 6: Final answer
    x = 6,119.84

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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.