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Finding the Fourth Proportional to 9,539.53, 13,164.09 and 5,290.26

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Solution

The fourth proportional to 9,539.53, 13,164.09 and 5,290.26 is: 7,300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.53 : 13,164.09 = 5,290.26 : x
  2. Step 2: Convert to fraction form
    9,539.53/13,164.09 = 5,290.26/x
  3. Step 3: Cross multiply
    9,539.53x = 13,164.09 × 5,290.26
  4. Step 4: Simplify right side
    9,539.53x = 69,641,429.24
  5. Step 5: Solve for x
    x = 69,641,429.24/9,539.53
  6. Step 6: Final answer
    x = 7,300.30

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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.