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Finding the Fourth Proportional to 9,445.59, 13,031.73 and 5,465.25

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Solution

The fourth proportional to 9,445.59, 13,031.73 and 5,465.25 is: 7,540.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,445.59 : 13,031.73 = 5,465.25 : x
  2. Step 2: Convert to fraction form
    9,445.59/13,031.73 = 5,465.25/x
  3. Step 3: Cross multiply
    9,445.59x = 13,031.73 × 5,465.25
  4. Step 4: Simplify right side
    9,445.59x = 71,221,662.38
  5. Step 5: Solve for x
    x = 71,221,662.38/9,445.59
  6. Step 6: Final answer
    x = 7,540.20

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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.