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Finding the Fourth Proportional to 10,309.30, 14,226.65 and 6,274.67

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Solution

The fourth proportional to 10,309.30, 14,226.65 and 6,274.67 is: 8,658.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309.30 : 14,226.65 = 6,274.67 : x
  2. Step 2: Convert to fraction form
    10,309.30/14,226.65 = 6,274.67/x
  3. Step 3: Cross multiply
    10,309.30x = 14,226.65 × 6,274.67
  4. Step 4: Simplify right side
    10,309.30x = 89,267,454.98
  5. Step 5: Solve for x
    x = 89,267,454.98/10,309.30
  6. Step 6: Final answer
    x = 8,658.93

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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.