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Finding the Fourth Proportional to 10,378.94, 14,326.01 and 7,236.14

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Solution

The fourth proportional to 10,378.94, 14,326.01 and 7,236.14 is: 9,988.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.94 : 14,326.01 = 7,236.14 : x
  2. Step 2: Convert to fraction form
    10,378.94/14,326.01 = 7,236.14/x
  3. Step 3: Cross multiply
    10,378.94x = 14,326.01 × 7,236.14
  4. Step 4: Simplify right side
    10,378.94x = 103,664,906.19
  5. Step 5: Solve for x
    x = 103,664,906.19/10,378.94
  6. Step 6: Final answer
    x = 9,988.01

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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.