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Finding the Fourth Proportional to 7,032.42, 9,704.88 and 3,888.72

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Solution

The fourth proportional to 7,032.42, 9,704.88 and 3,888.72 is: 5,366.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.42 : 9,704.88 = 3,888.72 : x
  2. Step 2: Convert to fraction form
    7,032.42/9,704.88 = 3,888.72/x
  3. Step 3: Cross multiply
    7,032.42x = 9,704.88 × 3,888.72
  4. Step 4: Simplify right side
    7,032.42x = 37,739,560.95
  5. Step 5: Solve for x
    x = 37,739,560.95/7,032.42
  6. Step 6: Final answer
    x = 5,366.51

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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.