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Finding the Fourth Proportional to 7,057.99, 9,735.73 and 4,667.95

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Solution

The fourth proportional to 7,057.99, 9,735.73 and 4,667.95 is: 6,438.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.99 : 9,735.73 = 4,667.95 : x
  2. Step 2: Convert to fraction form
    7,057.99/9,735.73 = 4,667.95/x
  3. Step 3: Cross multiply
    7,057.99x = 9,735.73 × 4,667.95
  4. Step 4: Simplify right side
    7,057.99x = 45,445,900.85
  5. Step 5: Solve for x
    x = 45,445,900.85/7,057.99
  6. Step 6: Final answer
    x = 6,438.93

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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.