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Finding the Fourth Proportional to 9,739.88, 13,437.94 and 5,762.36

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Solution

The fourth proportional to 9,739.88, 13,437.94 and 5,762.36 is: 7,950.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.88 : 13,437.94 = 5,762.36 : x
  2. Step 2: Convert to fraction form
    9,739.88/13,437.94 = 5,762.36/x
  3. Step 3: Cross multiply
    9,739.88x = 13,437.94 × 5,762.36
  4. Step 4: Simplify right side
    9,739.88x = 77,434,247.94
  5. Step 5: Solve for x
    x = 77,434,247.94/9,739.88
  6. Step 6: Final answer
    x = 7,950.23

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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.