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Finding the Fourth Proportional to 10,200.03, 14,072.45 and 6,661.95

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Solution

The fourth proportional to 10,200.03, 14,072.45 and 6,661.95 is: 9,191.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.03 : 14,072.45 = 6,661.95 : x
  2. Step 2: Convert to fraction form
    10,200.03/14,072.45 = 6,661.95/x
  3. Step 3: Cross multiply
    10,200.03x = 14,072.45 × 6,661.95
  4. Step 4: Simplify right side
    10,200.03x = 93,749,924.97
  5. Step 5: Solve for x
    x = 93,749,924.97/10,200.03
  6. Step 6: Final answer
    x = 9,191.14

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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.