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Finding the Fourth Proportional to 9,740.33, 14,602.30 and 3,893.75

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Solution

The fourth proportional to 9,740.33, 14,602.30 and 3,893.75 is: 5,837.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.33 : 14,602.30 = 3,893.75 : x
  2. Step 2: Convert to fraction form
    9,740.33/14,602.30 = 3,893.75/x
  3. Step 3: Cross multiply
    9,740.33x = 14,602.30 × 3,893.75
  4. Step 4: Simplify right side
    9,740.33x = 56,857,705.63
  5. Step 5: Solve for x
    x = 56,857,705.63/9,740.33
  6. Step 6: Final answer
    x = 5,837.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.