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Finding the Fourth Proportional to 9,122.96, 13,690.59 and 3,575.63

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Solution

The fourth proportional to 9,122.96, 13,690.59 and 3,575.63 is: 5,365.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.96 : 13,690.59 = 3,575.63 : x
  2. Step 2: Convert to fraction form
    9,122.96/13,690.59 = 3,575.63/x
  3. Step 3: Cross multiply
    9,122.96x = 13,690.59 × 3,575.63
  4. Step 4: Simplify right side
    9,122.96x = 48,952,415.87
  5. Step 5: Solve for x
    x = 48,952,415.87/9,122.96
  6. Step 6: Final answer
    x = 5,365.85

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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.