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Finding the Fourth Proportional to 6,302.34, 9,440.42 and 5,325.01

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Solution

The fourth proportional to 6,302.34, 9,440.42 and 5,325.01 is: 7,976.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.34 : 9,440.42 = 5,325.01 : x
  2. Step 2: Convert to fraction form
    6,302.34/9,440.42 = 5,325.01/x
  3. Step 3: Cross multiply
    6,302.34x = 9,440.42 × 5,325.01
  4. Step 4: Simplify right side
    6,302.34x = 50,270,280.68
  5. Step 5: Solve for x
    x = 50,270,280.68/6,302.34
  6. Step 6: Final answer
    x = 7,976.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.