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Finding the Fourth Proportional to 9,664.64, 14,497.88 and 3,001.20

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Solution

The fourth proportional to 9,664.64, 14,497.88 and 3,001.20 is: 4,502.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.64 : 14,497.88 = 3,001.20 : x
  2. Step 2: Convert to fraction form
    9,664.64/14,497.88 = 3,001.20/x
  3. Step 3: Cross multiply
    9,664.64x = 14,497.88 × 3,001.20
  4. Step 4: Simplify right side
    9,664.64x = 43,511,037.46
  5. Step 5: Solve for x
    x = 43,511,037.46/9,664.64
  6. Step 6: Final answer
    x = 4,502.09

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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.