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Finding the Fourth Proportional to 7,088.80, 9,783 and 3,945.20

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Solution

The fourth proportional to 7,088.80, 9,783 and 3,945.20 is: 5,444.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,088.80 : 9,783 = 3,945.20 : x
  2. Step 2: Convert to fraction form
    7,088.80/9,783 = 3,945.20/x
  3. Step 3: Cross multiply
    7,088.80x = 9,783 × 3,945.20
  4. Step 4: Simplify right side
    7,088.80x = 38,595,891.60
  5. Step 5: Solve for x
    x = 38,595,891.60/7,088.80
  6. Step 6: Final answer
    x = 5,444.63

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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.