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Finding the Fourth Proportional to 6,650.35, 9,970.23 and 3,316.77

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Solution

The fourth proportional to 6,650.35, 9,970.23 and 3,316.77 is: 4,972.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.35 : 9,970.23 = 3,316.77 : x
  2. Step 2: Convert to fraction form
    6,650.35/9,970.23 = 3,316.77/x
  3. Step 3: Cross multiply
    6,650.35x = 9,970.23 × 3,316.77
  4. Step 4: Simplify right side
    6,650.35x = 33,068,959.76
  5. Step 5: Solve for x
    x = 33,068,959.76/6,650.35
  6. Step 6: Final answer
    x = 4,972.51

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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.