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Finding the Fourth Proportional to 9,735.96, 14,604.48 and 4,191.84

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Solution

The fourth proportional to 9,735.96, 14,604.48 and 4,191.84 is: 6,287.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.96 : 14,604.48 = 4,191.84 : x
  2. Step 2: Convert to fraction form
    9,735.96/14,604.48 = 4,191.84/x
  3. Step 3: Cross multiply
    9,735.96x = 14,604.48 × 4,191.84
  4. Step 4: Simplify right side
    9,735.96x = 61,219,643.44
  5. Step 5: Solve for x
    x = 61,219,643.44/9,735.96
  6. Step 6: Final answer
    x = 6,287.99

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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.