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Finding the Fourth Proportional to 6,909.32, 9,534.78 and 3,765.50

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Solution

The fourth proportional to 6,909.32, 9,534.78 and 3,765.50 is: 5,196.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.32 : 9,534.78 = 3,765.50 : x
  2. Step 2: Convert to fraction form
    6,909.32/9,534.78 = 3,765.50/x
  3. Step 3: Cross multiply
    6,909.32x = 9,534.78 × 3,765.50
  4. Step 4: Simplify right side
    6,909.32x = 35,903,214.09
  5. Step 5: Solve for x
    x = 35,903,214.09/6,909.32
  6. Step 6: Final answer
    x = 5,196.35

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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.