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Finding the Fourth Proportional to 7,089.24, 9,783.54 and 3,945.36

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Solution

The fourth proportional to 7,089.24, 9,783.54 and 3,945.36 is: 5,444.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.24 : 9,783.54 = 3,945.36 : x
  2. Step 2: Convert to fraction form
    7,089.24/9,783.54 = 3,945.36/x
  3. Step 3: Cross multiply
    7,089.24x = 9,783.54 × 3,945.36
  4. Step 4: Simplify right side
    7,089.24x = 38,599,587.37
  5. Step 5: Solve for x
    x = 38,599,587.37/7,089.24
  6. Step 6: Final answer
    x = 5,444.81

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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.