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Finding the Fourth Proportional to 7,002.34, 9,663.26 and 3,858.52

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Solution

The fourth proportional to 7,002.34, 9,663.26 and 3,858.52 is: 5,324.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.34 : 9,663.26 = 3,858.52 : x
  2. Step 2: Convert to fraction form
    7,002.34/9,663.26 = 3,858.52/x
  3. Step 3: Cross multiply
    7,002.34x = 9,663.26 × 3,858.52
  4. Step 4: Simplify right side
    7,002.34x = 37,285,881.98
  5. Step 5: Solve for x
    x = 37,285,881.98/7,002.34
  6. Step 6: Final answer
    x = 5,324.77

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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.