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Finding the Fourth Proportional to 6,952.32, 9,594.12 and 3,808.50

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Solution

The fourth proportional to 6,952.32, 9,594.12 and 3,808.50 is: 5,255.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.32 : 9,594.12 = 3,808.50 : x
  2. Step 2: Convert to fraction form
    6,952.32/9,594.12 = 3,808.50/x
  3. Step 3: Cross multiply
    6,952.32x = 9,594.12 × 3,808.50
  4. Step 4: Simplify right side
    6,952.32x = 36,539,206.02
  5. Step 5: Solve for x
    x = 36,539,206.02/6,952.32
  6. Step 6: Final answer
    x = 5,255.69

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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.