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Finding the Fourth Proportional to 9,785.36, 13,503.12 and 5,535.20

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Solution

The fourth proportional to 9,785.36, 13,503.12 and 5,535.20 is: 7,638.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.36 : 13,503.12 = 5,535.20 : x
  2. Step 2: Convert to fraction form
    9,785.36/13,503.12 = 5,535.20/x
  3. Step 3: Cross multiply
    9,785.36x = 13,503.12 × 5,535.20
  4. Step 4: Simplify right side
    9,785.36x = 74,742,469.82
  5. Step 5: Solve for x
    x = 74,742,469.82/9,785.36
  6. Step 6: Final answer
    x = 7,638.19

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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.