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Finding the Fourth Proportional to 7,182.92, 9,914.01 and 4,533.92

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Solution

The fourth proportional to 7,182.92, 9,914.01 and 4,533.92 is: 6,257.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.92 : 9,914.01 = 4,533.92 : x
  2. Step 2: Convert to fraction form
    7,182.92/9,914.01 = 4,533.92/x
  3. Step 3: Cross multiply
    7,182.92x = 9,914.01 × 4,533.92
  4. Step 4: Simplify right side
    7,182.92x = 44,949,328.22
  5. Step 5: Solve for x
    x = 44,949,328.22/7,182.92
  6. Step 6: Final answer
    x = 6,257.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.