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Finding the Fourth Proportional to 9,298.98, 12,828.08 and 6,157.80

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Solution

The fourth proportional to 9,298.98, 12,828.08 and 6,157.80 is: 8,494.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.98 : 12,828.08 = 6,157.80 : x
  2. Step 2: Convert to fraction form
    9,298.98/12,828.08 = 6,157.80/x
  3. Step 3: Cross multiply
    9,298.98x = 12,828.08 × 6,157.80
  4. Step 4: Simplify right side
    9,298.98x = 78,992,751.02
  5. Step 5: Solve for x
    x = 78,992,751.02/9,298.98
  6. Step 6: Final answer
    x = 8,494.78

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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.