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Finding the Fourth Proportional to 9,034.68, 12,468.48 and 5,056.16

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Solution

The fourth proportional to 9,034.68, 12,468.48 and 5,056.16 is: 6,977.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034.68 : 12,468.48 = 5,056.16 : x
  2. Step 2: Convert to fraction form
    9,034.68/12,468.48 = 5,056.16/x
  3. Step 3: Cross multiply
    9,034.68x = 12,468.48 × 5,056.16
  4. Step 4: Simplify right side
    9,034.68x = 63,042,629.84
  5. Step 5: Solve for x
    x = 63,042,629.84/9,034.68
  6. Step 6: Final answer
    x = 6,977.85

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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.