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Finding the Fourth Proportional to 9,638.89, 13,303.21 and 5,659.24

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Solution

The fourth proportional to 9,638.89, 13,303.21 and 5,659.24 is: 7,810.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.89 : 13,303.21 = 5,659.24 : x
  2. Step 2: Convert to fraction form
    9,638.89/13,303.21 = 5,659.24/x
  3. Step 3: Cross multiply
    9,638.89x = 13,303.21 × 5,659.24
  4. Step 4: Simplify right side
    9,638.89x = 75,286,058.16
  5. Step 5: Solve for x
    x = 75,286,058.16/9,638.89
  6. Step 6: Final answer
    x = 7,810.66

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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.