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Finding the Fourth Proportional to 6,503.34, 9,752.96 and 2,120.16

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Solution

The fourth proportional to 6,503.34, 9,752.96 and 2,120.16 is: 3,179.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.34 : 9,752.96 = 2,120.16 : x
  2. Step 2: Convert to fraction form
    6,503.34/9,752.96 = 2,120.16/x
  3. Step 3: Cross multiply
    6,503.34x = 9,752.96 × 2,120.16
  4. Step 4: Simplify right side
    6,503.34x = 20,677,835.67
  5. Step 5: Solve for x
    x = 20,677,835.67/6,503.34
  6. Step 6: Final answer
    x = 3,179.57

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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.