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Finding the Fourth Proportional to 9,164.38, 12,646.08 and 5,184.58

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Solution

The fourth proportional to 9,164.38, 12,646.08 and 5,184.58 is: 7,154.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.38 : 12,646.08 = 5,184.58 : x
  2. Step 2: Convert to fraction form
    9,164.38/12,646.08 = 5,184.58/x
  3. Step 3: Cross multiply
    9,164.38x = 12,646.08 × 5,184.58
  4. Step 4: Simplify right side
    9,164.38x = 65,564,613.45
  5. Step 5: Solve for x
    x = 65,564,613.45/9,164.38
  6. Step 6: Final answer
    x = 7,154.29

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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.