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Finding the Fourth Proportional to 9,386.73, 12,953.70 and 5,138.19

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Solution

The fourth proportional to 9,386.73, 12,953.70 and 5,138.19 is: 7,090.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.73 : 12,953.70 = 5,138.19 : x
  2. Step 2: Convert to fraction form
    9,386.73/12,953.70 = 5,138.19/x
  3. Step 3: Cross multiply
    9,386.73x = 12,953.70 × 5,138.19
  4. Step 4: Simplify right side
    9,386.73x = 66,558,571.80
  5. Step 5: Solve for x
    x = 66,558,571.80/9,386.73
  6. Step 6: Final answer
    x = 7,090.71

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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.