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Finding the Fourth Proportional to 9,264.32, 12,784.82 and 5,072.96

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Solution

The fourth proportional to 9,264.32, 12,784.82 and 5,072.96 is: 7,000.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.32 : 12,784.82 = 5,072.96 : x
  2. Step 2: Convert to fraction form
    9,264.32/12,784.82 = 5,072.96/x
  3. Step 3: Cross multiply
    9,264.32x = 12,784.82 × 5,072.96
  4. Step 4: Simplify right side
    9,264.32x = 64,856,880.47
  5. Step 5: Solve for x
    x = 64,856,880.47/9,264.32
  6. Step 6: Final answer
    x = 7,000.72

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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.