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Finding the Fourth Proportional to 9,219.42, 12,725.01 and 5,242.68

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Solution

The fourth proportional to 9,219.42, 12,725.01 and 5,242.68 is: 7,236.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219.42 : 12,725.01 = 5,242.68 : x
  2. Step 2: Convert to fraction form
    9,219.42/12,725.01 = 5,242.68/x
  3. Step 3: Cross multiply
    9,219.42x = 12,725.01 × 5,242.68
  4. Step 4: Simplify right side
    9,219.42x = 66,713,155.43
  5. Step 5: Solve for x
    x = 66,713,155.43/9,219.42
  6. Step 6: Final answer
    x = 7,236.16

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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.