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Finding the Fourth Proportional to 9,905.63, 13,670.37 and 5,713.88

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Solution

The fourth proportional to 9,905.63, 13,670.37 and 5,713.88 is: 7,885.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.63 : 13,670.37 = 5,713.88 : x
  2. Step 2: Convert to fraction form
    9,905.63/13,670.37 = 5,713.88/x
  3. Step 3: Cross multiply
    9,905.63x = 13,670.37 × 5,713.88
  4. Step 4: Simplify right side
    9,905.63x = 78,110,785.38
  5. Step 5: Solve for x
    x = 78,110,785.38/9,905.63
  6. Step 6: Final answer
    x = 7,885.50

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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.