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Finding the Fourth Proportional to 9,893.68, 14,845.98 and 5,513.60

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Solution

The fourth proportional to 9,893.68, 14,845.98 and 5,513.60 is: 8,273.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.68 : 14,845.98 = 5,513.60 : x
  2. Step 2: Convert to fraction form
    9,893.68/14,845.98 = 5,513.60/x
  3. Step 3: Cross multiply
    9,893.68x = 14,845.98 × 5,513.60
  4. Step 4: Simplify right side
    9,893.68x = 81,854,853.12
  5. Step 5: Solve for x
    x = 81,854,853.12/9,893.68
  6. Step 6: Final answer
    x = 8,273.45

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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.