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Finding the Fourth Proportional to 9,543.42, 14,313.11 and 6,762.29

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Solution

The fourth proportional to 9,543.42, 14,313.11 and 6,762.29 is: 10,141.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.42 : 14,313.11 = 6,762.29 : x
  2. Step 2: Convert to fraction form
    9,543.42/14,313.11 = 6,762.29/x
  3. Step 3: Cross multiply
    9,543.42x = 14,313.11 × 6,762.29
  4. Step 4: Simplify right side
    9,543.42x = 96,789,295.24
  5. Step 5: Solve for x
    x = 96,789,295.24/9,543.42
  6. Step 6: Final answer
    x = 10,141.99

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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.