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Finding the Fourth Proportional to 9,577.26, 13,216.95 and 5,801.13

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Solution

The fourth proportional to 9,577.26, 13,216.95 and 5,801.13 is: 8,005.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.26 : 13,216.95 = 5,801.13 : x
  2. Step 2: Convert to fraction form
    9,577.26/13,216.95 = 5,801.13/x
  3. Step 3: Cross multiply
    9,577.26x = 13,216.95 × 5,801.13
  4. Step 4: Simplify right side
    9,577.26x = 76,673,245.15
  5. Step 5: Solve for x
    x = 76,673,245.15/9,577.26
  6. Step 6: Final answer
    x = 8,005.76

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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.