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Finding the Fourth Proportional to 9,824.10, 14,712.93 and 7,481.28

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Solution

The fourth proportional to 9,824.10, 14,712.93 and 7,481.28 is: 11,204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.10 : 14,712.93 = 7,481.28 : x
  2. Step 2: Convert to fraction form
    9,824.10/14,712.93 = 7,481.28/x
  3. Step 3: Cross multiply
    9,824.10x = 14,712.93 × 7,481.28
  4. Step 4: Simplify right side
    9,824.10x = 110,071,548.95
  5. Step 5: Solve for x
    x = 110,071,548.95/9,824.10
  6. Step 6: Final answer
    x = 11,204.24

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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.