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Finding the Fourth Proportional to 9,798.96, 14,697.32 and 2,874.16

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Solution

The fourth proportional to 9,798.96, 14,697.32 and 2,874.16 is: 4,310.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.96 : 14,697.32 = 2,874.16 : x
  2. Step 2: Convert to fraction form
    9,798.96/14,697.32 = 2,874.16/x
  3. Step 3: Cross multiply
    9,798.96x = 14,697.32 × 2,874.16
  4. Step 4: Simplify right side
    9,798.96x = 42,242,449.25
  5. Step 5: Solve for x
    x = 42,242,449.25/9,798.96
  6. Step 6: Final answer
    x = 4,310.91

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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.