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Finding the Fourth Proportional to 9,783.18, 13,496.22 and 5,589

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Solution

The fourth proportional to 9,783.18, 13,496.22 and 5,589 is: 7,710.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.18 : 13,496.22 = 5,589 : x
  2. Step 2: Convert to fraction form
    9,783.18/13,496.22 = 5,589/x
  3. Step 3: Cross multiply
    9,783.18x = 13,496.22 × 5,589
  4. Step 4: Simplify right side
    9,783.18x = 75,430,373.58
  5. Step 5: Solve for x
    x = 75,430,373.58/9,783.18
  6. Step 6: Final answer
    x = 7,710.21

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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.