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Finding the Fourth Proportional to 7,032.18, 9,704.31 and 3,888.30

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Solution

The fourth proportional to 7,032.18, 9,704.31 and 3,888.30 is: 5,365.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.18 : 9,704.31 = 3,888.30 : x
  2. Step 2: Convert to fraction form
    7,032.18/9,704.31 = 3,888.30/x
  3. Step 3: Cross multiply
    7,032.18x = 9,704.31 × 3,888.30
  4. Step 4: Simplify right side
    7,032.18x = 37,733,268.57
  5. Step 5: Solve for x
    x = 37,733,268.57/7,032.18
  6. Step 6: Final answer
    x = 5,365.80

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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.