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Finding the Fourth Proportional to 9,425.20, 14,152.20 and 6,516.40

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Solution

The fourth proportional to 9,425.20, 14,152.20 and 6,516.40 is: 9,784.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425.20 : 14,152.20 = 6,516.40 : x
  2. Step 2: Convert to fraction form
    9,425.20/14,152.20 = 6,516.40/x
  3. Step 3: Cross multiply
    9,425.20x = 14,152.20 × 6,516.40
  4. Step 4: Simplify right side
    9,425.20x = 92,221,396.08
  5. Step 5: Solve for x
    x = 92,221,396.08/9,425.20
  6. Step 6: Final answer
    x = 9,784.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.