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Finding the Fourth Proportional to 7,088.36, 9,782.10 and 3,944.34

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Solution

The fourth proportional to 7,088.36, 9,782.10 and 3,944.34 is: 5,443.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,088.36 : 9,782.10 = 3,944.34 : x
  2. Step 2: Convert to fraction form
    7,088.36/9,782.10 = 3,944.34/x
  3. Step 3: Cross multiply
    7,088.36x = 9,782.10 × 3,944.34
  4. Step 4: Simplify right side
    7,088.36x = 38,583,928.31
  5. Step 5: Solve for x
    x = 38,583,928.31/7,088.36
  6. Step 6: Final answer
    x = 5,443.28

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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.