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Finding the Fourth Proportional to 9,735.39, 13,434.03 and 5,485.14

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Solution

The fourth proportional to 9,735.39, 13,434.03 and 5,485.14 is: 7,569.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.39 : 13,434.03 = 5,485.14 : x
  2. Step 2: Convert to fraction form
    9,735.39/13,434.03 = 5,485.14/x
  3. Step 3: Cross multiply
    9,735.39x = 13,434.03 × 5,485.14
  4. Step 4: Simplify right side
    9,735.39x = 73,687,535.31
  5. Step 5: Solve for x
    x = 73,687,535.31/9,735.39
  6. Step 6: Final answer
    x = 7,569.04

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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.