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Finding the Fourth Proportional to 10,137.26, 13,999.08 and 9,585.05

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Solution

The fourth proportional to 10,137.26, 13,999.08 and 9,585.05 is: 13,236.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137.26 : 13,999.08 = 9,585.05 : x
  2. Step 2: Convert to fraction form
    10,137.26/13,999.08 = 9,585.05/x
  3. Step 3: Cross multiply
    10,137.26x = 13,999.08 × 9,585.05
  4. Step 4: Simplify right side
    10,137.26x = 134,181,881.75
  5. Step 5: Solve for x
    x = 134,181,881.75/10,137.26
  6. Step 6: Final answer
    x = 13,236.50

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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.