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Finding the Fourth Proportional to 9,807.72, 14,713.24 and 4,548.02

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Solution

The fourth proportional to 9,807.72, 14,713.24 and 4,548.02 is: 6,822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.72 : 14,713.24 = 4,548.02 : x
  2. Step 2: Convert to fraction form
    9,807.72/14,713.24 = 4,548.02/x
  3. Step 3: Cross multiply
    9,807.72x = 14,713.24 × 4,548.02
  4. Step 4: Simplify right side
    9,807.72x = 66,916,109.78
  5. Step 5: Solve for x
    x = 66,916,109.78/9,807.72
  6. Step 6: Final answer
    x = 6,822.80

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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.