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Finding the Fourth Proportional to 9,589.47, 13,237.56 and 6,447.48

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Solution

The fourth proportional to 9,589.47, 13,237.56 and 6,447.48 is: 8,900.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.47 : 13,237.56 = 6,447.48 : x
  2. Step 2: Convert to fraction form
    9,589.47/13,237.56 = 6,447.48/x
  3. Step 3: Cross multiply
    9,589.47x = 13,237.56 × 6,447.48
  4. Step 4: Simplify right side
    9,589.47x = 85,348,903.35
  5. Step 5: Solve for x
    x = 85,348,903.35/9,589.47
  6. Step 6: Final answer
    x = 8,900.27

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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.