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Finding the Fourth Proportional to 7,036.45, 9,710 and 3,892.43

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Solution

The fourth proportional to 7,036.45, 9,710 and 3,892.43 is: 5,371.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,036.45 : 9,710 = 3,892.43 : x
  2. Step 2: Convert to fraction form
    7,036.45/9,710 = 3,892.43/x
  3. Step 3: Cross multiply
    7,036.45x = 9,710 × 3,892.43
  4. Step 4: Simplify right side
    7,036.45x = 37,795,495.30
  5. Step 5: Solve for x
    x = 37,795,495.30/7,036.45
  6. Step 6: Final answer
    x = 5,371.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.