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Finding the Fourth Proportional to 9,374.89, 14,062.14 and 3,826.93

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Solution

The fourth proportional to 9,374.89, 14,062.14 and 3,826.93 is: 5,740.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.89 : 14,062.14 = 3,826.93 : x
  2. Step 2: Convert to fraction form
    9,374.89/14,062.14 = 3,826.93/x
  3. Step 3: Cross multiply
    9,374.89x = 14,062.14 × 3,826.93
  4. Step 4: Simplify right side
    9,374.89x = 53,814,825.43
  5. Step 5: Solve for x
    x = 53,814,825.43/9,374.89
  6. Step 6: Final answer
    x = 5,740.32

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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.