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Finding the Fourth Proportional to 9,539.36, 13,164.99 and 5,291.78

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Solution

The fourth proportional to 9,539.36, 13,164.99 and 5,291.78 is: 7,303.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.36 : 13,164.99 = 5,291.78 : x
  2. Step 2: Convert to fraction form
    9,539.36/13,164.99 = 5,291.78/x
  3. Step 3: Cross multiply
    9,539.36x = 13,164.99 × 5,291.78
  4. Step 4: Simplify right side
    9,539.36x = 69,666,230.78
  5. Step 5: Solve for x
    x = 69,666,230.78/9,539.36
  6. Step 6: Final answer
    x = 7,303.03

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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.