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Finding the Fourth Proportional to 10,176.45, 14,019.53 and 9,564.09

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Solution

The fourth proportional to 10,176.45, 14,019.53 and 9,564.09 is: 13,175.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,176.45 : 14,019.53 = 9,564.09 : x
  2. Step 2: Convert to fraction form
    10,176.45/14,019.53 = 9,564.09/x
  3. Step 3: Cross multiply
    10,176.45x = 14,019.53 × 9,564.09
  4. Step 4: Simplify right side
    10,176.45x = 134,083,998.86
  5. Step 5: Solve for x
    x = 134,083,998.86/10,176.45
  6. Step 6: Final answer
    x = 13,175.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.