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Finding the Fourth Proportional to 9,402.88, 14,099.82 and 3,475.72

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Solution

The fourth proportional to 9,402.88, 14,099.82 and 3,475.72 is: 5,211.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.88 : 14,099.82 = 3,475.72 : x
  2. Step 2: Convert to fraction form
    9,402.88/14,099.82 = 3,475.72/x
  3. Step 3: Cross multiply
    9,402.88x = 14,099.82 × 3,475.72
  4. Step 4: Simplify right side
    9,402.88x = 49,007,026.37
  5. Step 5: Solve for x
    x = 49,007,026.37/9,402.88
  6. Step 6: Final answer
    x = 5,211.92

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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.