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Finding the Fourth Proportional to 9,431.67, 13,015.38 and 5,182.73

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Solution

The fourth proportional to 9,431.67, 13,015.38 and 5,182.73 is: 7,152.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.67 : 13,015.38 = 5,182.73 : x
  2. Step 2: Convert to fraction form
    9,431.67/13,015.38 = 5,182.73/x
  3. Step 3: Cross multiply
    9,431.67x = 13,015.38 × 5,182.73
  4. Step 4: Simplify right side
    9,431.67x = 67,455,276.76
  5. Step 5: Solve for x
    x = 67,455,276.76/9,431.67
  6. Step 6: Final answer
    x = 7,152.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.