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Finding the Fourth Proportional to 9,840.66, 14,760.85 and 5,893.02

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Solution

The fourth proportional to 9,840.66, 14,760.85 and 5,893.02 is: 8,839.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.66 : 14,760.85 = 5,893.02 : x
  2. Step 2: Convert to fraction form
    9,840.66/14,760.85 = 5,893.02/x
  3. Step 3: Cross multiply
    9,840.66x = 14,760.85 × 5,893.02
  4. Step 4: Simplify right side
    9,840.66x = 86,985,984.27
  5. Step 5: Solve for x
    x = 86,985,984.27/9,840.66
  6. Step 6: Final answer
    x = 8,839.45

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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.