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Finding the Fourth Proportional to 7,109.64, 9,812.75 and 4,874.31

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Solution

The fourth proportional to 7,109.64, 9,812.75 and 4,874.31 is: 6,727.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.64 : 9,812.75 = 4,874.31 : x
  2. Step 2: Convert to fraction form
    7,109.64/9,812.75 = 4,874.31/x
  3. Step 3: Cross multiply
    7,109.64x = 9,812.75 × 4,874.31
  4. Step 4: Simplify right side
    7,109.64x = 47,830,361.08
  5. Step 5: Solve for x
    x = 47,830,361.08/7,109.64
  6. Step 6: Final answer
    x = 6,727.54

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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.