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Finding the Fourth Proportional to 9,314.14, 13,972.64 and 4,384.30

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Solution

The fourth proportional to 9,314.14, 13,972.64 and 4,384.30 is: 6,577.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.14 : 13,972.64 = 4,384.30 : x
  2. Step 2: Convert to fraction form
    9,314.14/13,972.64 = 4,384.30/x
  3. Step 3: Cross multiply
    9,314.14x = 13,972.64 × 4,384.30
  4. Step 4: Simplify right side
    9,314.14x = 61,260,245.55
  5. Step 5: Solve for x
    x = 61,260,245.55/9,314.14
  6. Step 6: Final answer
    x = 6,577.12

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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.