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Finding the Fourth Proportional to 9,169, 12,656.50 and 5,443

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Solution

The fourth proportional to 9,169, 12,656.50 and 5,443 is: 7,513.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169 : 12,656.50 = 5,443 : x
  2. Step 2: Convert to fraction form
    9,169/12,656.50 = 5,443/x
  3. Step 3: Cross multiply
    9,169x = 12,656.50 × 5,443
  4. Step 4: Simplify right side
    9,169x = 68,889,329.50
  5. Step 5: Solve for x
    x = 68,889,329.50/9,169
  6. Step 6: Final answer
    x = 7,513.29

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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.