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Finding the Fourth Proportional to 9,782.26, 14,673.39 and 5,397.28

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Solution

The fourth proportional to 9,782.26, 14,673.39 and 5,397.28 is: 8,095.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.26 : 14,673.39 = 5,397.28 : x
  2. Step 2: Convert to fraction form
    9,782.26/14,673.39 = 5,397.28/x
  3. Step 3: Cross multiply
    9,782.26x = 14,673.39 × 5,397.28
  4. Step 4: Simplify right side
    9,782.26x = 79,196,394.38
  5. Step 5: Solve for x
    x = 79,196,394.38/9,782.26
  6. Step 6: Final answer
    x = 8,095.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.