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Finding the Fourth Proportional to 9,482.28, 13,083.15 and 5,704.23

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Solution

The fourth proportional to 9,482.28, 13,083.15 and 5,704.23 is: 7,870.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.28 : 13,083.15 = 5,704.23 : x
  2. Step 2: Convert to fraction form
    9,482.28/13,083.15 = 5,704.23/x
  3. Step 3: Cross multiply
    9,482.28x = 13,083.15 × 5,704.23
  4. Step 4: Simplify right side
    9,482.28x = 74,629,296.72
  5. Step 5: Solve for x
    x = 74,629,296.72/9,482.28
  6. Step 6: Final answer
    x = 7,870.40

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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.