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Finding the Fourth Proportional to 9,284.92, 13,927.50 and 2,359.48

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Solution

The fourth proportional to 9,284.92, 13,927.50 and 2,359.48 is: 3,539.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.92 : 13,927.50 = 2,359.48 : x
  2. Step 2: Convert to fraction form
    9,284.92/13,927.50 = 2,359.48/x
  3. Step 3: Cross multiply
    9,284.92x = 13,927.50 × 2,359.48
  4. Step 4: Simplify right side
    9,284.92x = 32,861,657.70
  5. Step 5: Solve for x
    x = 32,861,657.70/9,284.92
  6. Step 6: Final answer
    x = 3,539.25

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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.