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Finding the Fourth Proportional to 10,109.73, 15,089.74 and 9,486.43

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Solution

The fourth proportional to 10,109.73, 15,089.74 and 9,486.43 is: 14,159.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,109.73 : 15,089.74 = 9,486.43 : x
  2. Step 2: Convert to fraction form
    10,109.73/15,089.74 = 9,486.43/x
  3. Step 3: Cross multiply
    10,109.73x = 15,089.74 × 9,486.43
  4. Step 4: Simplify right side
    10,109.73x = 143,147,839.03
  5. Step 5: Solve for x
    x = 143,147,839.03/10,109.73
  6. Step 6: Final answer
    x = 14,159.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.