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Finding the Fourth Proportional to 9,788.09, 13,507.49 and 5,539.12

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Solution

The fourth proportional to 9,788.09, 13,507.49 and 5,539.12 is: 7,643.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.09 : 13,507.49 = 5,539.12 : x
  2. Step 2: Convert to fraction form
    9,788.09/13,507.49 = 5,539.12/x
  3. Step 3: Cross multiply
    9,788.09x = 13,507.49 × 5,539.12
  4. Step 4: Simplify right side
    9,788.09x = 74,819,608.01
  5. Step 5: Solve for x
    x = 74,819,608.01/9,788.09
  6. Step 6: Final answer
    x = 7,643.94

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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.