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Finding the Fourth Proportional to 9,132.56, 13,696.73 and 2,559.41

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Solution

The fourth proportional to 9,132.56, 13,696.73 and 2,559.41 is: 3,838.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.56 : 13,696.73 = 2,559.41 : x
  2. Step 2: Convert to fraction form
    9,132.56/13,696.73 = 2,559.41/x
  3. Step 3: Cross multiply
    9,132.56x = 13,696.73 × 2,559.41
  4. Step 4: Simplify right side
    9,132.56x = 35,055,547.73
  5. Step 5: Solve for x
    x = 35,055,547.73/9,132.56
  6. Step 6: Final answer
    x = 3,838.52

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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.