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Finding the Fourth Proportional to 9,835.74, 13,572.99 and 5,359.41

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Solution

The fourth proportional to 9,835.74, 13,572.99 and 5,359.41 is: 7,395.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.74 : 13,572.99 = 5,359.41 : x
  2. Step 2: Convert to fraction form
    9,835.74/13,572.99 = 5,359.41/x
  3. Step 3: Cross multiply
    9,835.74x = 13,572.99 × 5,359.41
  4. Step 4: Simplify right side
    9,835.74x = 72,743,218.34
  5. Step 5: Solve for x
    x = 72,743,218.34/9,835.74
  6. Step 6: Final answer
    x = 7,395.81

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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.