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Finding the Fourth Proportional to 9,253.12, 12,765.72 and 5,895.33

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Solution

The fourth proportional to 9,253.12, 12,765.72 and 5,895.33 is: 8,133.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.12 : 12,765.72 = 5,895.33 : x
  2. Step 2: Convert to fraction form
    9,253.12/12,765.72 = 5,895.33/x
  3. Step 3: Cross multiply
    9,253.12x = 12,765.72 × 5,895.33
  4. Step 4: Simplify right side
    9,253.12x = 75,258,132.09
  5. Step 5: Solve for x
    x = 75,258,132.09/9,253.12
  6. Step 6: Final answer
    x = 8,133.27

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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.