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Finding the Fourth Proportional to 7,032.30, 9,704.49 and 4,201.50

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Solution

The fourth proportional to 7,032.30, 9,704.49 and 4,201.50 is: 5,798.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.30 : 9,704.49 = 4,201.50 : x
  2. Step 2: Convert to fraction form
    7,032.30/9,704.49 = 4,201.50/x
  3. Step 3: Cross multiply
    7,032.30x = 9,704.49 × 4,201.50
  4. Step 4: Simplify right side
    7,032.30x = 40,773,414.74
  5. Step 5: Solve for x
    x = 40,773,414.74/7,032.30
  6. Step 6: Final answer
    x = 5,798.02

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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.