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Finding the Fourth Proportional to 9,899.94, 14,850.86 and 2,784.16

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Solution

The fourth proportional to 9,899.94, 14,850.86 and 2,784.16 is: 4,176.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.94 : 14,850.86 = 2,784.16 : x
  2. Step 2: Convert to fraction form
    9,899.94/14,850.86 = 2,784.16/x
  3. Step 3: Cross multiply
    9,899.94x = 14,850.86 × 2,784.16
  4. Step 4: Simplify right side
    9,899.94x = 41,347,170.38
  5. Step 5: Solve for x
    x = 41,347,170.38/9,899.94
  6. Step 6: Final answer
    x = 4,176.51

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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.