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Finding the Fourth Proportional to 9,739.59, 13,443.39 and 5,762.09

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Solution

The fourth proportional to 9,739.59, 13,443.39 and 5,762.09 is: 7,953.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.59 : 13,443.39 = 5,762.09 : x
  2. Step 2: Convert to fraction form
    9,739.59/13,443.39 = 5,762.09/x
  3. Step 3: Cross multiply
    9,739.59x = 13,443.39 × 5,762.09
  4. Step 4: Simplify right side
    9,739.59x = 77,462,023.09
  5. Step 5: Solve for x
    x = 77,462,023.09/9,739.59
  6. Step 6: Final answer
    x = 7,953.31

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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.