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Finding the Fourth Proportional to 9,772.10, 14,656.62 and 2,752.64

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Solution

The fourth proportional to 9,772.10, 14,656.62 and 2,752.64 is: 4,128.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.10 : 14,656.62 = 2,752.64 : x
  2. Step 2: Convert to fraction form
    9,772.10/14,656.62 = 2,752.64/x
  3. Step 3: Cross multiply
    9,772.10x = 14,656.62 × 2,752.64
  4. Step 4: Simplify right side
    9,772.10x = 40,344,398.48
  5. Step 5: Solve for x
    x = 40,344,398.48/9,772.10
  6. Step 6: Final answer
    x = 4,128.53

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Why These Related Problems?

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