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Finding the Fourth Proportional to 9,164, 12,646.61 and 5,185.03

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Solution

The fourth proportional to 9,164, 12,646.61 and 5,185.03 is: 7,155.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164 : 12,646.61 = 5,185.03 : x
  2. Step 2: Convert to fraction form
    9,164/12,646.61 = 5,185.03/x
  3. Step 3: Cross multiply
    9,164x = 12,646.61 × 5,185.03
  4. Step 4: Simplify right side
    9,164x = 65,573,052.25
  5. Step 5: Solve for x
    x = 65,573,052.25/9,164
  6. Step 6: Final answer
    x = 7,155.51

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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.