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Finding the Fourth Proportional to 6,645.51, 9,965.93 and 1,964.27

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Solution

The fourth proportional to 6,645.51, 9,965.93 and 1,964.27 is: 2,945.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.51 : 9,965.93 = 1,964.27 : x
  2. Step 2: Convert to fraction form
    6,645.51/9,965.93 = 1,964.27/x
  3. Step 3: Cross multiply
    6,645.51x = 9,965.93 × 1,964.27
  4. Step 4: Simplify right side
    6,645.51x = 19,575,792.41
  5. Step 5: Solve for x
    x = 19,575,792.41/6,645.51
  6. Step 6: Final answer
    x = 2,945.72

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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.