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Finding the Fourth Proportional to 7,075.68, 9,764.92 and 3,931.86

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Solution

The fourth proportional to 7,075.68, 9,764.92 and 3,931.86 is: 5,426.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.68 : 9,764.92 = 3,931.86 : x
  2. Step 2: Convert to fraction form
    7,075.68/9,764.92 = 3,931.86/x
  3. Step 3: Cross multiply
    7,075.68x = 9,764.92 × 3,931.86
  4. Step 4: Simplify right side
    7,075.68x = 38,394,298.35
  5. Step 5: Solve for x
    x = 38,394,298.35/7,075.68
  6. Step 6: Final answer
    x = 5,426.23

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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.