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Finding the Fourth Proportional to 7,077.51, 9,766.71 and 3,933.63

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Solution

The fourth proportional to 7,077.51, 9,766.71 and 3,933.63 is: 5,428.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.51 : 9,766.71 = 3,933.63 : x
  2. Step 2: Convert to fraction form
    7,077.51/9,766.71 = 3,933.63/x
  3. Step 3: Cross multiply
    7,077.51x = 9,766.71 × 3,933.63
  4. Step 4: Simplify right side
    7,077.51x = 38,418,623.46
  5. Step 5: Solve for x
    x = 38,418,623.46/7,077.51
  6. Step 6: Final answer
    x = 5,428.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.