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Finding the Fourth Proportional to 9,892.89, 13,652.35 and 5,416.57

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Solution

The fourth proportional to 9,892.89, 13,652.35 and 5,416.57 is: 7,474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.89 : 13,652.35 = 5,416.57 : x
  2. Step 2: Convert to fraction form
    9,892.89/13,652.35 = 5,416.57/x
  3. Step 3: Cross multiply
    9,892.89x = 13,652.35 × 5,416.57
  4. Step 4: Simplify right side
    9,892.89x = 73,948,841.18
  5. Step 5: Solve for x
    x = 73,948,841.18/9,892.89
  6. Step 6: Final answer
    x = 7,474.95

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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.