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Finding the Fourth Proportional to 9,189.35, 12,681.42 and 5,210.37

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Solution

The fourth proportional to 9,189.35, 12,681.42 and 5,210.37 is: 7,190.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.35 : 12,681.42 = 5,210.37 : x
  2. Step 2: Convert to fraction form
    9,189.35/12,681.42 = 5,210.37/x
  3. Step 3: Cross multiply
    9,189.35x = 12,681.42 × 5,210.37
  4. Step 4: Simplify right side
    9,189.35x = 66,074,890.33
  5. Step 5: Solve for x
    x = 66,074,890.33/9,189.35
  6. Step 6: Final answer
    x = 7,190.38

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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.