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Finding the Fourth Proportional to 10,135.80, 14,034.06 and 9,876.60

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Solution

The fourth proportional to 10,135.80, 14,034.06 and 9,876.60 is: 13,675.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.80 : 14,034.06 = 9,876.60 : x
  2. Step 2: Convert to fraction form
    10,135.80/14,034.06 = 9,876.60/x
  3. Step 3: Cross multiply
    10,135.80x = 14,034.06 × 9,876.60
  4. Step 4: Simplify right side
    10,135.80x = 138,608,797.00
  5. Step 5: Solve for x
    x = 138,608,797.00/10,135.80
  6. Step 6: Final answer
    x = 13,675.17

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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.