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Finding the Fourth Proportional to 9,637.85, 13,301.42 and 5,659.34

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Solution

The fourth proportional to 9,637.85, 13,301.42 and 5,659.34 is: 7,810.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.85 : 13,301.42 = 5,659.34 : x
  2. Step 2: Convert to fraction form
    9,637.85/13,301.42 = 5,659.34/x
  3. Step 3: Cross multiply
    9,637.85x = 13,301.42 × 5,659.34
  4. Step 4: Simplify right side
    9,637.85x = 75,277,163.46
  5. Step 5: Solve for x
    x = 75,277,163.46/9,637.85
  6. Step 6: Final answer
    x = 7,810.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.