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Finding the Fourth Proportional to 9,783.70, 14,675.50 and 2,388.20

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Solution

The fourth proportional to 9,783.70, 14,675.50 and 2,388.20 is: 3,582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.70 : 14,675.50 = 2,388.20 : x
  2. Step 2: Convert to fraction form
    9,783.70/14,675.50 = 2,388.20/x
  3. Step 3: Cross multiply
    9,783.70x = 14,675.50 × 2,388.20
  4. Step 4: Simplify right side
    9,783.70x = 35,047,945.27
  5. Step 5: Solve for x
    x = 35,047,945.27/9,783.70
  6. Step 6: Final answer
    x = 3,582.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.