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Finding the Fourth Proportional to 9,585.41, 13,228.14 and 5,999.22

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Solution

The fourth proportional to 9,585.41, 13,228.14 and 5,999.22 is: 8,279.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.41 : 13,228.14 = 5,999.22 : x
  2. Step 2: Convert to fraction form
    9,585.41/13,228.14 = 5,999.22/x
  3. Step 3: Cross multiply
    9,585.41x = 13,228.14 × 5,999.22
  4. Step 4: Simplify right side
    9,585.41x = 79,358,522.05
  5. Step 5: Solve for x
    x = 79,358,522.05/9,585.41
  6. Step 6: Final answer
    x = 8,279.10

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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.