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Finding the Fourth Proportional to 9,541.69, 14,314.56 and 2,878.39

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Solution

The fourth proportional to 9,541.69, 14,314.56 and 2,878.39 is: 4,318.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,541.69 : 14,314.56 = 2,878.39 : x
  2. Step 2: Convert to fraction form
    9,541.69/14,314.56 = 2,878.39/x
  3. Step 3: Cross multiply
    9,541.69x = 14,314.56 × 2,878.39
  4. Step 4: Simplify right side
    9,541.69x = 41,202,886.36
  5. Step 5: Solve for x
    x = 41,202,886.36/9,541.69
  6. Step 6: Final answer
    x = 4,318.20

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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.