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Finding the Fourth Proportional to 9,830.25, 13,565.75 and 5,414.25

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Solution

The fourth proportional to 9,830.25, 13,565.75 and 5,414.25 is: 7,471.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.25 : 13,565.75 = 5,414.25 : x
  2. Step 2: Convert to fraction form
    9,830.25/13,565.75 = 5,414.25/x
  3. Step 3: Cross multiply
    9,830.25x = 13,565.75 × 5,414.25
  4. Step 4: Simplify right side
    9,830.25x = 73,448,334.87
  5. Step 5: Solve for x
    x = 73,448,334.87/9,830.25
  6. Step 6: Final answer
    x = 7,471.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.