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Finding the Fourth Proportional to 9,776.07, 14,663.16 and 2,755.98

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Solution

The fourth proportional to 9,776.07, 14,663.16 and 2,755.98 is: 4,133.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.07 : 14,663.16 = 2,755.98 : x
  2. Step 2: Convert to fraction form
    9,776.07/14,663.16 = 2,755.98/x
  3. Step 3: Cross multiply
    9,776.07x = 14,663.16 × 2,755.98
  4. Step 4: Simplify right side
    9,776.07x = 40,411,375.70
  5. Step 5: Solve for x
    x = 40,411,375.70/9,776.07
  6. Step 6: Final answer
    x = 4,133.70

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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.