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Finding the Fourth Proportional to 9,714, 13,403.16 and 5,735.28

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Solution

The fourth proportional to 9,714, 13,403.16 and 5,735.28 is: 7,913.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714 : 13,403.16 = 5,735.28 : x
  2. Step 2: Convert to fraction form
    9,714/13,403.16 = 5,735.28/x
  3. Step 3: Cross multiply
    9,714x = 13,403.16 × 5,735.28
  4. Step 4: Simplify right side
    9,714x = 76,870,875.48
  5. Step 5: Solve for x
    x = 76,870,875.48/9,714
  6. Step 6: Final answer
    x = 7,913.41

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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.