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Finding the Fourth Proportional to 9,731.33, 14,613.40 and 9,654.78

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Solution

The fourth proportional to 9,731.33, 14,613.40 and 9,654.78 is: 14,498.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.33 : 14,613.40 = 9,654.78 : x
  2. Step 2: Convert to fraction form
    9,731.33/14,613.40 = 9,654.78/x
  3. Step 3: Cross multiply
    9,731.33x = 14,613.40 × 9,654.78
  4. Step 4: Simplify right side
    9,731.33x = 141,089,162.05
  5. Step 5: Solve for x
    x = 141,089,162.05/9,731.33
  6. Step 6: Final answer
    x = 14,498.45

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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.