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Finding the Fourth Proportional to 9,087.52, 12,537.84 and 5,945.80

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Solution

The fourth proportional to 9,087.52, 12,537.84 and 5,945.80 is: 8,203.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,087.52 : 12,537.84 = 5,945.80 : x
  2. Step 2: Convert to fraction form
    9,087.52/12,537.84 = 5,945.80/x
  3. Step 3: Cross multiply
    9,087.52x = 12,537.84 × 5,945.80
  4. Step 4: Simplify right side
    9,087.52x = 74,547,489.07
  5. Step 5: Solve for x
    x = 74,547,489.07/9,087.52
  6. Step 6: Final answer
    x = 8,203.28

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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.