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Finding the Fourth Proportional to 9,171.80, 13,753.08 and 4,492.16

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Solution

The fourth proportional to 9,171.80, 13,753.08 and 4,492.16 is: 6,735.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.80 : 13,753.08 = 4,492.16 : x
  2. Step 2: Convert to fraction form
    9,171.80/13,753.08 = 4,492.16/x
  3. Step 3: Cross multiply
    9,171.80x = 13,753.08 × 4,492.16
  4. Step 4: Simplify right side
    9,171.80x = 61,781,035.85
  5. Step 5: Solve for x
    x = 61,781,035.85/9,171.80
  6. Step 6: Final answer
    x = 6,735.98

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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.