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Finding the Fourth Proportional to 9,783.20, 14,648.88 and 5,882.24

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Solution

The fourth proportional to 9,783.20, 14,648.88 and 5,882.24 is: 8,807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.20 : 14,648.88 = 5,882.24 : x
  2. Step 2: Convert to fraction form
    9,783.20/14,648.88 = 5,882.24/x
  3. Step 3: Cross multiply
    9,783.20x = 14,648.88 × 5,882.24
  4. Step 4: Simplify right side
    9,783.20x = 86,168,227.89
  5. Step 5: Solve for x
    x = 86,168,227.89/9,783.20
  6. Step 6: Final answer
    x = 8,807.78

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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.