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Finding the Fourth Proportional to 9,577.25, 13,216.91 and 5,801.12

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Solution

The fourth proportional to 9,577.25, 13,216.91 and 5,801.12 is: 8,005.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.25 : 13,216.91 = 5,801.12 : x
  2. Step 2: Convert to fraction form
    9,577.25/13,216.91 = 5,801.12/x
  3. Step 3: Cross multiply
    9,577.25x = 13,216.91 × 5,801.12
  4. Step 4: Simplify right side
    9,577.25x = 76,672,835.41
  5. Step 5: Solve for x
    x = 76,672,835.41/9,577.25
  6. Step 6: Final answer
    x = 8,005.72

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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.