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Finding the Fourth Proportional to 9,630.02, 14,439 and 3,779.84

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Solution

The fourth proportional to 9,630.02, 14,439 and 3,779.84 is: 5,667.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630.02 : 14,439 = 3,779.84 : x
  2. Step 2: Convert to fraction form
    9,630.02/14,439 = 3,779.84/x
  3. Step 3: Cross multiply
    9,630.02x = 14,439 × 3,779.84
  4. Step 4: Simplify right side
    9,630.02x = 54,577,109.76
  5. Step 5: Solve for x
    x = 54,577,109.76/9,630.02
  6. Step 6: Final answer
    x = 5,667.39

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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.