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Finding the Fourth Proportional to 9,112.68, 12,575.32 and 5,133.71

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Solution

The fourth proportional to 9,112.68, 12,575.32 and 5,133.71 is: 7,084.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,112.68 : 12,575.32 = 5,133.71 : x
  2. Step 2: Convert to fraction form
    9,112.68/12,575.32 = 5,133.71/x
  3. Step 3: Cross multiply
    9,112.68x = 12,575.32 × 5,133.71
  4. Step 4: Simplify right side
    9,112.68x = 64,558,064.64
  5. Step 5: Solve for x
    x = 64,558,064.64/9,112.68
  6. Step 6: Final answer
    x = 7,084.42

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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.