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Finding the Fourth Proportional to 10,406.54, 14,363.70 and 6,425.37

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Solution

The fourth proportional to 10,406.54, 14,363.70 and 6,425.37 is: 8,868.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.54 : 14,363.70 = 6,425.37 : x
  2. Step 2: Convert to fraction form
    10,406.54/14,363.70 = 6,425.37/x
  3. Step 3: Cross multiply
    10,406.54x = 14,363.70 × 6,425.37
  4. Step 4: Simplify right side
    10,406.54x = 92,292,087.07
  5. Step 5: Solve for x
    x = 92,292,087.07/10,406.54
  6. Step 6: Final answer
    x = 8,868.67

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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.