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Finding the Fourth Proportional to 10,135.01, 15,185.05 and 9,107.81

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Solution

The fourth proportional to 10,135.01, 15,185.05 and 9,107.81 is: 13,646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.01 : 15,185.05 = 9,107.81 : x
  2. Step 2: Convert to fraction form
    10,135.01/15,185.05 = 9,107.81/x
  3. Step 3: Cross multiply
    10,135.01x = 15,185.05 × 9,107.81
  4. Step 4: Simplify right side
    10,135.01x = 138,302,550.24
  5. Step 5: Solve for x
    x = 138,302,550.24/10,135.01
  6. Step 6: Final answer
    x = 13,646.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.