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Finding the Fourth Proportional to 7,075.24, 9,763.92 and 3,931.42

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Solution

The fourth proportional to 7,075.24, 9,763.92 and 3,931.42 is: 5,425.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.24 : 9,763.92 = 3,931.42 : x
  2. Step 2: Convert to fraction form
    7,075.24/9,763.92 = 3,931.42/x
  3. Step 3: Cross multiply
    7,075.24x = 9,763.92 × 3,931.42
  4. Step 4: Simplify right side
    7,075.24x = 38,386,070.37
  5. Step 5: Solve for x
    x = 38,386,070.37/7,075.24
  6. Step 6: Final answer
    x = 5,425.41

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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.