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Finding the Fourth Proportional to 9,701.78, 14,540.09 and 4,073.06

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Solution

The fourth proportional to 9,701.78, 14,540.09 and 4,073.06 is: 6,104.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.78 : 14,540.09 = 4,073.06 : x
  2. Step 2: Convert to fraction form
    9,701.78/14,540.09 = 4,073.06/x
  3. Step 3: Cross multiply
    9,701.78x = 14,540.09 × 4,073.06
  4. Step 4: Simplify right side
    9,701.78x = 59,222,674.16
  5. Step 5: Solve for x
    x = 59,222,674.16/9,701.78
  6. Step 6: Final answer
    x = 6,104.31

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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.