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Finding the Fourth Proportional to 9,578.69, 13,218.47 and 5,386.94

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Solution

The fourth proportional to 9,578.69, 13,218.47 and 5,386.94 is: 7,433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.69 : 13,218.47 = 5,386.94 : x
  2. Step 2: Convert to fraction form
    9,578.69/13,218.47 = 5,386.94/x
  3. Step 3: Cross multiply
    9,578.69x = 13,218.47 × 5,386.94
  4. Step 4: Simplify right side
    9,578.69x = 71,207,131.09
  5. Step 5: Solve for x
    x = 71,207,131.09/9,578.69
  6. Step 6: Final answer
    x = 7,433.91

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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.