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Finding the Fourth Proportional to 9,783.38, 14,675.18 and 3,938.63

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Solution

The fourth proportional to 9,783.38, 14,675.18 and 3,938.63 is: 5,907.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.38 : 14,675.18 = 3,938.63 : x
  2. Step 2: Convert to fraction form
    9,783.38/14,675.18 = 3,938.63/x
  3. Step 3: Cross multiply
    9,783.38x = 14,675.18 × 3,938.63
  4. Step 4: Simplify right side
    9,783.38x = 57,800,011.13
  5. Step 5: Solve for x
    x = 57,800,011.13/9,783.38
  6. Step 6: Final answer
    x = 5,907.98

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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.