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Finding the Fourth Proportional to 7,075.06, 9,764.02 and 3,931.24

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Solution

The fourth proportional to 7,075.06, 9,764.02 and 3,931.24 is: 5,425.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.06 : 9,764.02 = 3,931.24 : x
  2. Step 2: Convert to fraction form
    7,075.06/9,764.02 = 3,931.24/x
  3. Step 3: Cross multiply
    7,075.06x = 9,764.02 × 3,931.24
  4. Step 4: Simplify right side
    7,075.06x = 38,384,705.98
  5. Step 5: Solve for x
    x = 38,384,705.98/7,075.06
  6. Step 6: Final answer
    x = 5,425.35

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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.