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Finding the Fourth Proportional to 9,830.74, 14,723.43 and 5,926.54

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Solution

The fourth proportional to 9,830.74, 14,723.43 and 5,926.54 is: 8,876.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.74 : 14,723.43 = 5,926.54 : x
  2. Step 2: Convert to fraction form
    9,830.74/14,723.43 = 5,926.54/x
  3. Step 3: Cross multiply
    9,830.74x = 14,723.43 × 5,926.54
  4. Step 4: Simplify right side
    9,830.74x = 87,258,996.83
  5. Step 5: Solve for x
    x = 87,258,996.83/9,830.74
  6. Step 6: Final answer
    x = 8,876.14

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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.