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Finding the Fourth Proportional to 6,958.24, 9,602.52 and 4,438.12

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Solution

The fourth proportional to 6,958.24, 9,602.52 and 4,438.12 is: 6,124.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.24 : 9,602.52 = 4,438.12 : x
  2. Step 2: Convert to fraction form
    6,958.24/9,602.52 = 4,438.12/x
  3. Step 3: Cross multiply
    6,958.24x = 9,602.52 × 4,438.12
  4. Step 4: Simplify right side
    6,958.24x = 42,617,136.06
  5. Step 5: Solve for x
    x = 42,617,136.06/6,958.24
  6. Step 6: Final answer
    x = 6,124.70

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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.