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Finding the Fourth Proportional to 7,002.54, 9,663.57 and 3,858.84

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Solution

The fourth proportional to 7,002.54, 9,663.57 and 3,858.84 is: 5,325.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.54 : 9,663.57 = 3,858.84 : x
  2. Step 2: Convert to fraction form
    7,002.54/9,663.57 = 3,858.84/x
  3. Step 3: Cross multiply
    7,002.54x = 9,663.57 × 3,858.84
  4. Step 4: Simplify right side
    7,002.54x = 37,290,170.46
  5. Step 5: Solve for x
    x = 37,290,170.46/7,002.54
  6. Step 6: Final answer
    x = 5,325.23

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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.