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Finding the Fourth Proportional to 9,698.76, 14,548.28 and 2,773.24

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Solution

The fourth proportional to 9,698.76, 14,548.28 and 2,773.24 is: 4,159.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.76 : 14,548.28 = 2,773.24 : x
  2. Step 2: Convert to fraction form
    9,698.76/14,548.28 = 2,773.24/x
  3. Step 3: Cross multiply
    9,698.76x = 14,548.28 × 2,773.24
  4. Step 4: Simplify right side
    9,698.76x = 40,345,872.03
  5. Step 5: Solve for x
    x = 40,345,872.03/9,698.76
  6. Step 6: Final answer
    x = 4,159.90

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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.