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Finding the Fourth Proportional to 9,287.57, 13,931.83 and 3,442.82

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Solution

The fourth proportional to 9,287.57, 13,931.83 and 3,442.82 is: 5,164.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.57 : 13,931.83 = 3,442.82 : x
  2. Step 2: Convert to fraction form
    9,287.57/13,931.83 = 3,442.82/x
  3. Step 3: Cross multiply
    9,287.57x = 13,931.83 × 3,442.82
  4. Step 4: Simplify right side
    9,287.57x = 47,964,717.60
  5. Step 5: Solve for x
    x = 47,964,717.60/9,287.57
  6. Step 6: Final answer
    x = 5,164.40

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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.