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Finding the Fourth Proportional to 9,605.91, 14,409.30 and 3,603.42

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Solution

The fourth proportional to 9,605.91, 14,409.30 and 3,603.42 is: 5,405.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.91 : 14,409.30 = 3,603.42 : x
  2. Step 2: Convert to fraction form
    9,605.91/14,409.30 = 3,603.42/x
  3. Step 3: Cross multiply
    9,605.91x = 14,409.30 × 3,603.42
  4. Step 4: Simplify right side
    9,605.91x = 51,922,687.76
  5. Step 5: Solve for x
    x = 51,922,687.76/9,605.91
  6. Step 6: Final answer
    x = 5,405.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.