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Finding the Fourth Proportional to 6,909.84, 9,536.94 and 4,812.75

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Solution

The fourth proportional to 6,909.84, 9,536.94 and 4,812.75 is: 6,642.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.84 : 9,536.94 = 4,812.75 : x
  2. Step 2: Convert to fraction form
    6,909.84/9,536.94 = 4,812.75/x
  3. Step 3: Cross multiply
    6,909.84x = 9,536.94 × 4,812.75
  4. Step 4: Simplify right side
    6,909.84x = 45,898,907.99
  5. Step 5: Solve for x
    x = 45,898,907.99/6,909.84
  6. Step 6: Final answer
    x = 6,642.54

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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.