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Finding the Fourth Proportional to 9,594.18, 13,243.23 and 5,820.39

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Solution

The fourth proportional to 9,594.18, 13,243.23 and 5,820.39 is: 8,034.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.18 : 13,243.23 = 5,820.39 : x
  2. Step 2: Convert to fraction form
    9,594.18/13,243.23 = 5,820.39/x
  3. Step 3: Cross multiply
    9,594.18x = 13,243.23 × 5,820.39
  4. Step 4: Simplify right side
    9,594.18x = 77,080,763.46
  5. Step 5: Solve for x
    x = 77,080,763.46/9,594.18
  6. Step 6: Final answer
    x = 8,034.12

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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.