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Finding the Fourth Proportional to 9,548.76, 14,325.21 and 3,926.46

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Solution

The fourth proportional to 9,548.76, 14,325.21 and 3,926.46 is: 5,890.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.76 : 14,325.21 = 3,926.46 : x
  2. Step 2: Convert to fraction form
    9,548.76/14,325.21 = 3,926.46/x
  3. Step 3: Cross multiply
    9,548.76x = 14,325.21 × 3,926.46
  4. Step 4: Simplify right side
    9,548.76x = 56,247,364.06
  5. Step 5: Solve for x
    x = 56,247,364.06/9,548.76
  6. Step 6: Final answer
    x = 5,890.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.