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Finding the Fourth Proportional to 10,313.98, 14,242.78 and 9,761.56

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Solution

The fourth proportional to 10,313.98, 14,242.78 and 9,761.56 is: 13,479.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.98 : 14,242.78 = 9,761.56 : x
  2. Step 2: Convert to fraction form
    10,313.98/14,242.78 = 9,761.56/x
  3. Step 3: Cross multiply
    10,313.98x = 14,242.78 × 9,761.56
  4. Step 4: Simplify right side
    10,313.98x = 139,031,751.54
  5. Step 5: Solve for x
    x = 139,031,751.54/10,313.98
  6. Step 6: Final answer
    x = 13,479.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.