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Finding the Fourth Proportional to 7,111.31, 9,806.33 and 4,720.44

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Solution

The fourth proportional to 7,111.31, 9,806.33 and 4,720.44 is: 6,509.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.31 : 9,806.33 = 4,720.44 : x
  2. Step 2: Convert to fraction form
    7,111.31/9,806.33 = 4,720.44/x
  3. Step 3: Cross multiply
    7,111.31x = 9,806.33 × 4,720.44
  4. Step 4: Simplify right side
    7,111.31x = 46,290,168.78
  5. Step 5: Solve for x
    x = 46,290,168.78/7,111.31
  6. Step 6: Final answer
    x = 6,509.37

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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.