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Finding the Fourth Proportional to 9,702.56, 14,554.56 and 2,777

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Solution

The fourth proportional to 9,702.56, 14,554.56 and 2,777 is: 4,165.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.56 : 14,554.56 = 2,777 : x
  2. Step 2: Convert to fraction form
    9,702.56/14,554.56 = 2,777/x
  3. Step 3: Cross multiply
    9,702.56x = 14,554.56 × 2,777
  4. Step 4: Simplify right side
    9,702.56x = 40,418,013.12
  5. Step 5: Solve for x
    x = 40,418,013.12/9,702.56
  6. Step 6: Final answer
    x = 4,165.71

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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.