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Finding the Fourth Proportional to 9,264.50, 12,785.13 and 5,072.66

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Solution

The fourth proportional to 9,264.50, 12,785.13 and 5,072.66 is: 7,000.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.50 : 12,785.13 = 5,072.66 : x
  2. Step 2: Convert to fraction form
    9,264.50/12,785.13 = 5,072.66/x
  3. Step 3: Cross multiply
    9,264.50x = 12,785.13 × 5,072.66
  4. Step 4: Simplify right side
    9,264.50x = 64,854,617.55
  5. Step 5: Solve for x
    x = 64,854,617.55/9,264.50
  6. Step 6: Final answer
    x = 7,000.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.