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Finding the Fourth Proportional to 9,496.32, 14,245.80 and 2,920.72

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Solution

The fourth proportional to 9,496.32, 14,245.80 and 2,920.72 is: 4,381.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.32 : 14,245.80 = 2,920.72 : x
  2. Step 2: Convert to fraction form
    9,496.32/14,245.80 = 2,920.72/x
  3. Step 3: Cross multiply
    9,496.32x = 14,245.80 × 2,920.72
  4. Step 4: Simplify right side
    9,496.32x = 41,607,992.98
  5. Step 5: Solve for x
    x = 41,607,992.98/9,496.32
  6. Step 6: Final answer
    x = 4,381.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.