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Finding the Fourth Proportional to 9,854.92, 14,756.50 and 7,871.41

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Solution

The fourth proportional to 9,854.92, 14,756.50 and 7,871.41 is: 11,786.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.92 : 14,756.50 = 7,871.41 : x
  2. Step 2: Convert to fraction form
    9,854.92/14,756.50 = 7,871.41/x
  3. Step 3: Cross multiply
    9,854.92x = 14,756.50 × 7,871.41
  4. Step 4: Simplify right side
    9,854.92x = 116,154,461.67
  5. Step 5: Solve for x
    x = 116,154,461.67/9,854.92
  6. Step 6: Final answer
    x = 11,786.44

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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.