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Finding the Fourth Proportional to 9,416.52, 12,994.80 and 5,167.62

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Solution

The fourth proportional to 9,416.52, 12,994.80 and 5,167.62 is: 7,131.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.52 : 12,994.80 = 5,167.62 : x
  2. Step 2: Convert to fraction form
    9,416.52/12,994.80 = 5,167.62/x
  3. Step 3: Cross multiply
    9,416.52x = 12,994.80 × 5,167.62
  4. Step 4: Simplify right side
    9,416.52x = 67,152,188.38
  5. Step 5: Solve for x
    x = 67,152,188.38/9,416.52
  6. Step 6: Final answer
    x = 7,131.32

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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.