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Finding the Fourth Proportional to 9,892.60, 14,836.50 and 3,317.08

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Solution

The fourth proportional to 9,892.60, 14,836.50 and 3,317.08 is: 4,974.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.60 : 14,836.50 = 3,317.08 : x
  2. Step 2: Convert to fraction form
    9,892.60/14,836.50 = 3,317.08/x
  3. Step 3: Cross multiply
    9,892.60x = 14,836.50 × 3,317.08
  4. Step 4: Simplify right side
    9,892.60x = 49,213,857.42
  5. Step 5: Solve for x
    x = 49,213,857.42/9,892.60
  6. Step 6: Final answer
    x = 4,974.82

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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.