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Finding the Fourth Proportional to 10,782.34, 14,846.97 and 9,206.98

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Solution

The fourth proportional to 10,782.34, 14,846.97 and 9,206.98 is: 12,677.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.34 : 14,846.97 = 9,206.98 : x
  2. Step 2: Convert to fraction form
    10,782.34/14,846.97 = 9,206.98/x
  3. Step 3: Cross multiply
    10,782.34x = 14,846.97 × 9,206.98
  4. Step 4: Simplify right side
    10,782.34x = 136,695,755.85
  5. Step 5: Solve for x
    x = 136,695,755.85/10,782.34
  6. Step 6: Final answer
    x = 12,677.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.