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Finding the Fourth Proportional to 9,585.72, 13,230.63 and 5,609.43

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Solution

The fourth proportional to 9,585.72, 13,230.63 and 5,609.43 is: 7,742.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.72 : 13,230.63 = 5,609.43 : x
  2. Step 2: Convert to fraction form
    9,585.72/13,230.63 = 5,609.43/x
  3. Step 3: Cross multiply
    9,585.72x = 13,230.63 × 5,609.43
  4. Step 4: Simplify right side
    9,585.72x = 74,216,292.84
  5. Step 5: Solve for x
    x = 74,216,292.84/9,585.72
  6. Step 6: Final answer
    x = 7,742.38

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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.