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Finding the Fourth Proportional to 9,431.91, 13,019.13 and 5,454

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Solution

The fourth proportional to 9,431.91, 13,019.13 and 5,454 is: 7,528.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.91 : 13,019.13 = 5,454 : x
  2. Step 2: Convert to fraction form
    9,431.91/13,019.13 = 5,454/x
  3. Step 3: Cross multiply
    9,431.91x = 13,019.13 × 5,454
  4. Step 4: Simplify right side
    9,431.91x = 71,006,335.02
  5. Step 5: Solve for x
    x = 71,006,335.02/9,431.91
  6. Step 6: Final answer
    x = 7,528.31

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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.