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Finding the Fourth Proportional to 10,378.02, 14,321.94 and 6,401.76

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Solution

The fourth proportional to 10,378.02, 14,321.94 and 6,401.76 is: 8,834.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.02 : 14,321.94 = 6,401.76 : x
  2. Step 2: Convert to fraction form
    10,378.02/14,321.94 = 6,401.76/x
  3. Step 3: Cross multiply
    10,378.02x = 14,321.94 × 6,401.76
  4. Step 4: Simplify right side
    10,378.02x = 91,685,622.61
  5. Step 5: Solve for x
    x = 91,685,622.61/10,378.02
  6. Step 6: Final answer
    x = 8,834.60

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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.