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Finding the Fourth Proportional to 7,197.30, 9,932.04 and 4,402.80

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Solution

The fourth proportional to 7,197.30, 9,932.04 and 4,402.80 is: 6,075.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.30 : 9,932.04 = 4,402.80 : x
  2. Step 2: Convert to fraction form
    7,197.30/9,932.04 = 4,402.80/x
  3. Step 3: Cross multiply
    7,197.30x = 9,932.04 × 4,402.80
  4. Step 4: Simplify right side
    7,197.30x = 43,728,785.71
  5. Step 5: Solve for x
    x = 43,728,785.71/7,197.30
  6. Step 6: Final answer
    x = 6,075.72

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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.