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Finding the Fourth Proportional to 6,952.26, 9,586.43 and 4,430.37

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Solution

The fourth proportional to 6,952.26, 9,586.43 and 4,430.37 is: 6,109.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.26 : 9,586.43 = 4,430.37 : x
  2. Step 2: Convert to fraction form
    6,952.26/9,586.43 = 4,430.37/x
  3. Step 3: Cross multiply
    6,952.26x = 9,586.43 × 4,430.37
  4. Step 4: Simplify right side
    6,952.26x = 42,471,409.73
  5. Step 5: Solve for x
    x = 42,471,409.73/6,952.26
  6. Step 6: Final answer
    x = 6,109.01

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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.