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Finding the Fourth Proportional to 10,277.37, 14,184.99 and 6,696.81

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Solution

The fourth proportional to 10,277.37, 14,184.99 and 6,696.81 is: 9,243.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,277.37 : 14,184.99 = 6,696.81 : x
  2. Step 2: Convert to fraction form
    10,277.37/14,184.99 = 6,696.81/x
  3. Step 3: Cross multiply
    10,277.37x = 14,184.99 × 6,696.81
  4. Step 4: Simplify right side
    10,277.37x = 94,994,182.88
  5. Step 5: Solve for x
    x = 94,994,182.88/10,277.37
  6. Step 6: Final answer
    x = 9,243.04

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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.