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Finding the Fourth Proportional to 7,032.40, 9,704.48 and 3,888.40

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Solution

The fourth proportional to 7,032.40, 9,704.48 and 3,888.40 is: 5,365.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.40 : 9,704.48 = 3,888.40 : x
  2. Step 2: Convert to fraction form
    7,032.40/9,704.48 = 3,888.40/x
  3. Step 3: Cross multiply
    7,032.40x = 9,704.48 × 3,888.40
  4. Step 4: Simplify right side
    7,032.40x = 37,734,900.03
  5. Step 5: Solve for x
    x = 37,734,900.03/7,032.40
  6. Step 6: Final answer
    x = 5,365.86

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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.