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Finding the Fourth Proportional to 9,885.94, 14,729.07 and 9,415.73

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Solution

The fourth proportional to 9,885.94, 14,729.07 and 9,415.73 is: 14,028.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.94 : 14,729.07 = 9,415.73 : x
  2. Step 2: Convert to fraction form
    9,885.94/14,729.07 = 9,415.73/x
  3. Step 3: Cross multiply
    9,885.94x = 14,729.07 × 9,415.73
  4. Step 4: Simplify right side
    9,885.94x = 138,684,946.27
  5. Step 5: Solve for x
    x = 138,684,946.27/9,885.94
  6. Step 6: Final answer
    x = 14,028.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.