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Finding the Fourth Proportional to 9,804.92, 14,707.43 and 2,409.38

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Solution

The fourth proportional to 9,804.92, 14,707.43 and 2,409.38 is: 3,614.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.92 : 14,707.43 = 2,409.38 : x
  2. Step 2: Convert to fraction form
    9,804.92/14,707.43 = 2,409.38/x
  3. Step 3: Cross multiply
    9,804.92x = 14,707.43 × 2,409.38
  4. Step 4: Simplify right side
    9,804.92x = 35,435,702.11
  5. Step 5: Solve for x
    x = 35,435,702.11/9,804.92
  6. Step 6: Final answer
    x = 3,614.08

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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.