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Finding the Fourth Proportional to 9,885.86, 14,821.79 and 4,951.98

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Solution

The fourth proportional to 9,885.86, 14,821.79 and 4,951.98 is: 7,424.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.86 : 14,821.79 = 4,951.98 : x
  2. Step 2: Convert to fraction form
    9,885.86/14,821.79 = 4,951.98/x
  3. Step 3: Cross multiply
    9,885.86x = 14,821.79 × 4,951.98
  4. Step 4: Simplify right side
    9,885.86x = 73,397,207.64
  5. Step 5: Solve for x
    x = 73,397,207.64/9,885.86
  6. Step 6: Final answer
    x = 7,424.46

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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.