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Finding the Fourth Proportional to 9,112.48, 13,670.64 and 2,956

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Solution

The fourth proportional to 9,112.48, 13,670.64 and 2,956 is: 4,434.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,112.48 : 13,670.64 = 2,956 : x
  2. Step 2: Convert to fraction form
    9,112.48/13,670.64 = 2,956/x
  3. Step 3: Cross multiply
    9,112.48x = 13,670.64 × 2,956
  4. Step 4: Simplify right side
    9,112.48x = 40,410,411.84
  5. Step 5: Solve for x
    x = 40,410,411.84/9,112.48
  6. Step 6: Final answer
    x = 4,434.62

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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.