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Finding the Fourth Proportional to 9,788.43, 13,509.93 and 5,539.47

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Solution

The fourth proportional to 9,788.43, 13,509.93 and 5,539.47 is: 7,645.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.43 : 13,509.93 = 5,539.47 : x
  2. Step 2: Convert to fraction form
    9,788.43/13,509.93 = 5,539.47/x
  3. Step 3: Cross multiply
    9,788.43x = 13,509.93 × 5,539.47
  4. Step 4: Simplify right side
    9,788.43x = 74,837,851.94
  5. Step 5: Solve for x
    x = 74,837,851.94/9,788.43
  6. Step 6: Final answer
    x = 7,645.54

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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.