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Finding the Fourth Proportional to 9,539.98, 13,164.51 and 5,291.26

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Solution

The fourth proportional to 9,539.98, 13,164.51 and 5,291.26 is: 7,301.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.98 : 13,164.51 = 5,291.26 : x
  2. Step 2: Convert to fraction form
    9,539.98/13,164.51 = 5,291.26/x
  3. Step 3: Cross multiply
    9,539.98x = 13,164.51 × 5,291.26
  4. Step 4: Simplify right side
    9,539.98x = 69,656,845.18
  5. Step 5: Solve for x
    x = 69,656,845.18/9,539.98
  6. Step 6: Final answer
    x = 7,301.57

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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.