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Finding the Fourth Proportional to 6,975.48, 9,626.16 and 4,144.21

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Solution

The fourth proportional to 6,975.48, 9,626.16 and 4,144.21 is: 5,719.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.48 : 9,626.16 = 4,144.21 : x
  2. Step 2: Convert to fraction form
    6,975.48/9,626.16 = 4,144.21/x
  3. Step 3: Cross multiply
    6,975.48x = 9,626.16 × 4,144.21
  4. Step 4: Simplify right side
    6,975.48x = 39,892,828.53
  5. Step 5: Solve for x
    x = 39,892,828.53/6,975.48
  6. Step 6: Final answer
    x = 5,719.01

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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.