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Finding the Fourth Proportional to 7,057.63, 9,736.38 and 4,539.27

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Solution

The fourth proportional to 7,057.63, 9,736.38 and 4,539.27 is: 6,262.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.63 : 9,736.38 = 4,539.27 : x
  2. Step 2: Convert to fraction form
    7,057.63/9,736.38 = 4,539.27/x
  3. Step 3: Cross multiply
    7,057.63x = 9,736.38 × 4,539.27
  4. Step 4: Simplify right side
    7,057.63x = 44,196,057.64
  5. Step 5: Solve for x
    x = 44,196,057.64/7,057.63
  6. Step 6: Final answer
    x = 6,262.17

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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.