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Finding the Fourth Proportional to 9,158.34, 13,718.07 and 6,198.60

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Solution

The fourth proportional to 9,158.34, 13,718.07 and 6,198.60 is: 9,284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.34 : 13,718.07 = 6,198.60 : x
  2. Step 2: Convert to fraction form
    9,158.34/13,718.07 = 6,198.60/x
  3. Step 3: Cross multiply
    9,158.34x = 13,718.07 × 6,198.60
  4. Step 4: Simplify right side
    9,158.34x = 85,032,828.70
  5. Step 5: Solve for x
    x = 85,032,828.70/9,158.34
  6. Step 6: Final answer
    x = 9,284.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.