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Finding the Fourth Proportional to 6,698.94, 9,242.94 and 4,277.31

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Solution

The fourth proportional to 6,698.94, 9,242.94 and 4,277.31 is: 5,901.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.94 : 9,242.94 = 4,277.31 : x
  2. Step 2: Convert to fraction form
    6,698.94/9,242.94 = 4,277.31/x
  3. Step 3: Cross multiply
    6,698.94x = 9,242.94 × 4,277.31
  4. Step 4: Simplify right side
    6,698.94x = 39,534,919.69
  5. Step 5: Solve for x
    x = 39,534,919.69/6,698.94
  6. Step 6: Final answer
    x = 5,901.67

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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.