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Finding the Fourth Proportional to 9,118.98, 12,584.34 and 5,140.29

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Solution

The fourth proportional to 9,118.98, 12,584.34 and 5,140.29 is: 7,093.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,118.98 : 12,584.34 = 5,140.29 : x
  2. Step 2: Convert to fraction form
    9,118.98/12,584.34 = 5,140.29/x
  3. Step 3: Cross multiply
    9,118.98x = 12,584.34 × 5,140.29
  4. Step 4: Simplify right side
    9,118.98x = 64,687,157.06
  5. Step 5: Solve for x
    x = 64,687,157.06/9,118.98
  6. Step 6: Final answer
    x = 7,093.68

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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.