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Finding the Fourth Proportional to 9,783.18, 14,664.24 and 4,239.54

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Solution

The fourth proportional to 9,783.18, 14,664.24 and 4,239.54 is: 6,354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.18 : 14,664.24 = 4,239.54 : x
  2. Step 2: Convert to fraction form
    9,783.18/14,664.24 = 4,239.54/x
  3. Step 3: Cross multiply
    9,783.18x = 14,664.24 × 4,239.54
  4. Step 4: Simplify right side
    9,783.18x = 62,169,632.05
  5. Step 5: Solve for x
    x = 62,169,632.05/9,783.18
  6. Step 6: Final answer
    x = 6,354.75

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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.