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Finding the Fourth Proportional to 9,283.41, 12,804.66 and 5,744.52

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Solution

The fourth proportional to 9,283.41, 12,804.66 and 5,744.52 is: 7,923.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.41 : 12,804.66 = 5,744.52 : x
  2. Step 2: Convert to fraction form
    9,283.41/12,804.66 = 5,744.52/x
  3. Step 3: Cross multiply
    9,283.41x = 12,804.66 × 5,744.52
  4. Step 4: Simplify right side
    9,283.41x = 73,556,625.46
  5. Step 5: Solve for x
    x = 73,556,625.46/9,283.41
  6. Step 6: Final answer
    x = 7,923.45

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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.