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Finding the Fourth Proportional to 9,640.68, 14,461.28 and 4,714.24

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Solution

The fourth proportional to 9,640.68, 14,461.28 and 4,714.24 is: 7,071.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.68 : 14,461.28 = 4,714.24 : x
  2. Step 2: Convert to fraction form
    9,640.68/14,461.28 = 4,714.24/x
  3. Step 3: Cross multiply
    9,640.68x = 14,461.28 × 4,714.24
  4. Step 4: Simplify right side
    9,640.68x = 68,173,944.63
  5. Step 5: Solve for x
    x = 68,173,944.63/9,640.68
  6. Step 6: Final answer
    x = 7,071.49

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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.