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Finding the Fourth Proportional to 9,626, 13,283.92 and 5,210

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Solution

The fourth proportional to 9,626, 13,283.92 and 5,210 is: 7,189.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626 : 13,283.92 = 5,210 : x
  2. Step 2: Convert to fraction form
    9,626/13,283.92 = 5,210/x
  3. Step 3: Cross multiply
    9,626x = 13,283.92 × 5,210
  4. Step 4: Simplify right side
    9,626x = 69,209,223.20
  5. Step 5: Solve for x
    x = 69,209,223.20/9,626
  6. Step 6: Final answer
    x = 7,189.82

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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.