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Finding the Fourth Proportional to 9,957.06, 13,739.22 and 5,764.50

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Solution

The fourth proportional to 9,957.06, 13,739.22 and 5,764.50 is: 7,954.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.06 : 13,739.22 = 5,764.50 : x
  2. Step 2: Convert to fraction form
    9,957.06/13,739.22 = 5,764.50/x
  3. Step 3: Cross multiply
    9,957.06x = 13,739.22 × 5,764.50
  4. Step 4: Simplify right side
    9,957.06x = 79,199,733.69
  5. Step 5: Solve for x
    x = 79,199,733.69/9,957.06
  6. Step 6: Final answer
    x = 7,954.13

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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.