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Finding the Fourth Proportional to 9,192.02, 12,684.48 and 5,000

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Solution

The fourth proportional to 9,192.02, 12,684.48 and 5,000 is: 6,899.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.02 : 12,684.48 = 5,000 : x
  2. Step 2: Convert to fraction form
    9,192.02/12,684.48 = 5,000/x
  3. Step 3: Cross multiply
    9,192.02x = 12,684.48 × 5,000
  4. Step 4: Simplify right side
    9,192.02x = 63,422,400
  5. Step 5: Solve for x
    x = 63,422,400/9,192.02
  6. Step 6: Final answer
    x = 6,899.72

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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.