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Finding the Fourth Proportional to 9,364.98, 12,923.31 and 5,383.38

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Solution

The fourth proportional to 9,364.98, 12,923.31 and 5,383.38 is: 7,428.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,364.98 : 12,923.31 = 5,383.38 : x
  2. Step 2: Convert to fraction form
    9,364.98/12,923.31 = 5,383.38/x
  3. Step 3: Cross multiply
    9,364.98x = 12,923.31 × 5,383.38
  4. Step 4: Simplify right side
    9,364.98x = 69,571,088.59
  5. Step 5: Solve for x
    x = 69,571,088.59/9,364.98
  6. Step 6: Final answer
    x = 7,428.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.