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Finding the Fourth Proportional to 10,129.01, 15,176.06 and 9,101.81

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Solution

The fourth proportional to 10,129.01, 15,176.06 and 9,101.81 is: 13,637.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.01 : 15,176.06 = 9,101.81 : x
  2. Step 2: Convert to fraction form
    10,129.01/15,176.06 = 9,101.81/x
  3. Step 3: Cross multiply
    10,129.01x = 15,176.06 × 9,101.81
  4. Step 4: Simplify right side
    10,129.01x = 138,129,493.28
  5. Step 5: Solve for x
    x = 138,129,493.28/10,129.01
  6. Step 6: Final answer
    x = 13,637.02

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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.