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Finding the Fourth Proportional to 9,691.60, 14,533.22 and 3,026.57

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Solution

The fourth proportional to 9,691.60, 14,533.22 and 3,026.57 is: 4,538.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.60 : 14,533.22 = 3,026.57 : x
  2. Step 2: Convert to fraction form
    9,691.60/14,533.22 = 3,026.57/x
  3. Step 3: Cross multiply
    9,691.60x = 14,533.22 × 3,026.57
  4. Step 4: Simplify right side
    9,691.60x = 43,985,742.56
  5. Step 5: Solve for x
    x = 43,985,742.56/9,691.60
  6. Step 6: Final answer
    x = 4,538.54

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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.