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Finding the Fourth Proportional to 9,701.37, 13,388.22 and 5,924.07

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Solution

The fourth proportional to 9,701.37, 13,388.22 and 5,924.07 is: 8,175.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.37 : 13,388.22 = 5,924.07 : x
  2. Step 2: Convert to fraction form
    9,701.37/13,388.22 = 5,924.07/x
  3. Step 3: Cross multiply
    9,701.37x = 13,388.22 × 5,924.07
  4. Step 4: Simplify right side
    9,701.37x = 79,312,752.46
  5. Step 5: Solve for x
    x = 79,312,752.46/9,701.37
  6. Step 6: Final answer
    x = 8,175.42

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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.