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Finding the Fourth Proportional to 9,775.26, 13,489.97 and 5,299.04

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Solution

The fourth proportional to 9,775.26, 13,489.97 and 5,299.04 is: 7,312.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.26 : 13,489.97 = 5,299.04 : x
  2. Step 2: Convert to fraction form
    9,775.26/13,489.97 = 5,299.04/x
  3. Step 3: Cross multiply
    9,775.26x = 13,489.97 × 5,299.04
  4. Step 4: Simplify right side
    9,775.26x = 71,483,897.86
  5. Step 5: Solve for x
    x = 71,483,897.86/9,775.26
  6. Step 6: Final answer
    x = 7,312.74

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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.