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Finding the Fourth Proportional to 7,023.94, 9,692.54 and 4,039.76

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Solution

The fourth proportional to 7,023.94, 9,692.54 and 4,039.76 is: 5,574.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.94 : 9,692.54 = 4,039.76 : x
  2. Step 2: Convert to fraction form
    7,023.94/9,692.54 = 4,039.76/x
  3. Step 3: Cross multiply
    7,023.94x = 9,692.54 × 4,039.76
  4. Step 4: Simplify right side
    7,023.94x = 39,155,535.39
  5. Step 5: Solve for x
    x = 39,155,535.39/7,023.94
  6. Step 6: Final answer
    x = 5,574.58

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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.