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Finding the Fourth Proportional to 10,273.01, 14,200.67 and 9,164.93

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Solution

The fourth proportional to 10,273.01, 14,200.67 and 9,164.93 is: 12,668.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,273.01 : 14,200.67 = 9,164.93 : x
  2. Step 2: Convert to fraction form
    10,273.01/14,200.67 = 9,164.93/x
  3. Step 3: Cross multiply
    10,273.01x = 14,200.67 × 9,164.93
  4. Step 4: Simplify right side
    10,273.01x = 130,148,100.68
  5. Step 5: Solve for x
    x = 130,148,100.68/10,273.01
  6. Step 6: Final answer
    x = 12,668.94

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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.