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Finding the Fourth Proportional to 9,523.71, 14,290.96 and 5,141.07

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Solution

The fourth proportional to 9,523.71, 14,290.96 and 5,141.07 is: 7,714.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.71 : 14,290.96 = 5,141.07 : x
  2. Step 2: Convert to fraction form
    9,523.71/14,290.96 = 5,141.07/x
  3. Step 3: Cross multiply
    9,523.71x = 14,290.96 × 5,141.07
  4. Step 4: Simplify right side
    9,523.71x = 73,470,825.73
  5. Step 5: Solve for x
    x = 73,470,825.73/9,523.71
  6. Step 6: Final answer
    x = 7,714.52

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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.