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Finding the Fourth Proportional to 9,977.94, 14,953.86 and 7,213.86

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Solution

The fourth proportional to 9,977.94, 14,953.86 and 7,213.86 is: 10,811.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.94 : 14,953.86 = 7,213.86 : x
  2. Step 2: Convert to fraction form
    9,977.94/14,953.86 = 7,213.86/x
  3. Step 3: Cross multiply
    9,977.94x = 14,953.86 × 7,213.86
  4. Step 4: Simplify right side
    9,977.94x = 107,875,052.50
  5. Step 5: Solve for x
    x = 107,875,052.50/9,977.94
  6. Step 6: Final answer
    x = 10,811.36

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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.