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Finding the Fourth Proportional to 9,693.81, 14,512.01 and 5,984.11

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Solution

The fourth proportional to 9,693.81, 14,512.01 and 5,984.11 is: 8,958.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.81 : 14,512.01 = 5,984.11 : x
  2. Step 2: Convert to fraction form
    9,693.81/14,512.01 = 5,984.11/x
  3. Step 3: Cross multiply
    9,693.81x = 14,512.01 × 5,984.11
  4. Step 4: Simplify right side
    9,693.81x = 86,841,486.04
  5. Step 5: Solve for x
    x = 86,841,486.04/9,693.81
  6. Step 6: Final answer
    x = 8,958.45

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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.