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Finding the Fourth Proportional to 9,618.74, 14,428.63 and 3,044.43

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Solution

The fourth proportional to 9,618.74, 14,428.63 and 3,044.43 is: 4,566.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.74 : 14,428.63 = 3,044.43 : x
  2. Step 2: Convert to fraction form
    9,618.74/14,428.63 = 3,044.43/x
  3. Step 3: Cross multiply
    9,618.74x = 14,428.63 × 3,044.43
  4. Step 4: Simplify right side
    9,618.74x = 43,926,946.42
  5. Step 5: Solve for x
    x = 43,926,946.42/9,618.74
  6. Step 6: Final answer
    x = 4,566.81

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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.