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Finding the Fourth Proportional to 9,798.78, 14,664.27 and 6,049.02

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Solution

The fourth proportional to 9,798.78, 14,664.27 and 6,049.02 is: 9,052.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.78 : 14,664.27 = 6,049.02 : x
  2. Step 2: Convert to fraction form
    9,798.78/14,664.27 = 6,049.02/x
  3. Step 3: Cross multiply
    9,798.78x = 14,664.27 × 6,049.02
  4. Step 4: Simplify right side
    9,798.78x = 88,704,462.52
  5. Step 5: Solve for x
    x = 88,704,462.52/9,798.78
  6. Step 6: Final answer
    x = 9,052.60

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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.