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Finding the Fourth Proportional to 9,431.79, 13,017.83 and 5,452.35

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Solution

The fourth proportional to 9,431.79, 13,017.83 and 5,452.35 is: 7,525.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.79 : 13,017.83 = 5,452.35 : x
  2. Step 2: Convert to fraction form
    9,431.79/13,017.83 = 5,452.35/x
  3. Step 3: Cross multiply
    9,431.79x = 13,017.83 × 5,452.35
  4. Step 4: Simplify right side
    9,431.79x = 70,977,765.40
  5. Step 5: Solve for x
    x = 70,977,765.40/9,431.79
  6. Step 6: Final answer
    x = 7,525.38

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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.