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Finding the Fourth Proportional to 9,157.23, 12,636.90 and 5,178.33

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Solution

The fourth proportional to 9,157.23, 12,636.90 and 5,178.33 is: 7,146.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.23 : 12,636.90 = 5,178.33 : x
  2. Step 2: Convert to fraction form
    9,157.23/12,636.90 = 5,178.33/x
  3. Step 3: Cross multiply
    9,157.23x = 12,636.90 × 5,178.33
  4. Step 4: Simplify right side
    9,157.23x = 65,438,038.38
  5. Step 5: Solve for x
    x = 65,438,038.38/9,157.23
  6. Step 6: Final answer
    x = 7,146.05

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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.