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Finding the Fourth Proportional to 9,783.10, 14,674.63 and 3,543.09

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Solution

The fourth proportional to 9,783.10, 14,674.63 and 3,543.09 is: 5,314.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.10 : 14,674.63 = 3,543.09 : x
  2. Step 2: Convert to fraction form
    9,783.10/14,674.63 = 3,543.09/x
  3. Step 3: Cross multiply
    9,783.10x = 14,674.63 × 3,543.09
  4. Step 4: Simplify right side
    9,783.10x = 51,993,443.72
  5. Step 5: Solve for x
    x = 51,993,443.72/9,783.10
  6. Step 6: Final answer
    x = 5,314.62

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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.