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Finding the Fourth Proportional to 9,767.01, 14,652.82 and 3,193.17

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Solution

The fourth proportional to 9,767.01, 14,652.82 and 3,193.17 is: 4,790.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.01 : 14,652.82 = 3,193.17 : x
  2. Step 2: Convert to fraction form
    9,767.01/14,652.82 = 3,193.17/x
  3. Step 3: Cross multiply
    9,767.01x = 14,652.82 × 3,193.17
  4. Step 4: Simplify right side
    9,767.01x = 46,788,985.69
  5. Step 5: Solve for x
    x = 46,788,985.69/9,767.01
  6. Step 6: Final answer
    x = 4,790.52

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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.