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Finding the Fourth Proportional to 9,539.34, 13,163.84 and 5,290.07

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Solution

The fourth proportional to 9,539.34, 13,163.84 and 5,290.07 is: 7,300.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.34 : 13,163.84 = 5,290.07 : x
  2. Step 2: Convert to fraction form
    9,539.34/13,163.84 = 5,290.07/x
  3. Step 3: Cross multiply
    9,539.34x = 13,163.84 × 5,290.07
  4. Step 4: Simplify right side
    9,539.34x = 69,637,616.85
  5. Step 5: Solve for x
    x = 69,637,616.85/9,539.34
  6. Step 6: Final answer
    x = 7,300.04

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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.