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Finding the Fourth Proportional to 9,494.76, 14,232 and 4,818.24

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Solution

The fourth proportional to 9,494.76, 14,232 and 4,818.24 is: 7,222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.76 : 14,232 = 4,818.24 : x
  2. Step 2: Convert to fraction form
    9,494.76/14,232 = 4,818.24/x
  3. Step 3: Cross multiply
    9,494.76x = 14,232 × 4,818.24
  4. Step 4: Simplify right side
    9,494.76x = 68,573,191.68
  5. Step 5: Solve for x
    x = 68,573,191.68/9,494.76
  6. Step 6: Final answer
    x = 7,222.21

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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.