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Finding the Fourth Proportional to 7,089.57, 9,783.50 and 3,945.76

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Solution

The fourth proportional to 7,089.57, 9,783.50 and 3,945.76 is: 5,445.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.57 : 9,783.50 = 3,945.76 : x
  2. Step 2: Convert to fraction form
    7,089.57/9,783.50 = 3,945.76/x
  3. Step 3: Cross multiply
    7,089.57x = 9,783.50 × 3,945.76
  4. Step 4: Simplify right side
    7,089.57x = 38,603,328.37
  5. Step 5: Solve for x
    x = 38,603,328.37/7,089.57
  6. Step 6: Final answer
    x = 5,445.09

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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.