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Finding the Fourth Proportional to 6,212.92, 9,319.12 and 1,532.70

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Solution

The fourth proportional to 6,212.92, 9,319.12 and 1,532.70 is: 2,298.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.92 : 9,319.12 = 1,532.70 : x
  2. Step 2: Convert to fraction form
    6,212.92/9,319.12 = 1,532.70/x
  3. Step 3: Cross multiply
    6,212.92x = 9,319.12 × 1,532.70
  4. Step 4: Simplify right side
    6,212.92x = 14,283,415.22
  5. Step 5: Solve for x
    x = 14,283,415.22/6,212.92
  6. Step 6: Final answer
    x = 2,298.99

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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.