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Finding the Fourth Proportional to 9,146.36, 13,717.95 and 2,570.99

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Solution

The fourth proportional to 9,146.36, 13,717.95 and 2,570.99 is: 3,856.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.36 : 13,717.95 = 2,570.99 : x
  2. Step 2: Convert to fraction form
    9,146.36/13,717.95 = 2,570.99/x
  3. Step 3: Cross multiply
    9,146.36x = 13,717.95 × 2,570.99
  4. Step 4: Simplify right side
    9,146.36x = 35,268,643.68
  5. Step 5: Solve for x
    x = 35,268,643.68/9,146.36
  6. Step 6: Final answer
    x = 3,856.03

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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.