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Finding the Fourth Proportional to 9,733.50, 14,600.52 and 2,808

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Solution

The fourth proportional to 9,733.50, 14,600.52 and 2,808 is: 4,212.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733.50 : 14,600.52 = 2,808 : x
  2. Step 2: Convert to fraction form
    9,733.50/14,600.52 = 2,808/x
  3. Step 3: Cross multiply
    9,733.50x = 14,600.52 × 2,808
  4. Step 4: Simplify right side
    9,733.50x = 40,998,260.16
  5. Step 5: Solve for x
    x = 40,998,260.16/9,733.50
  6. Step 6: Final answer
    x = 4,212.08

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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.