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Finding the Fourth Proportional to 9,187.87, 12,681.52 and 5,211.31

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Solution

The fourth proportional to 9,187.87, 12,681.52 and 5,211.31 is: 7,192.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.87 : 12,681.52 = 5,211.31 : x
  2. Step 2: Convert to fraction form
    9,187.87/12,681.52 = 5,211.31/x
  3. Step 3: Cross multiply
    9,187.87x = 12,681.52 × 5,211.31
  4. Step 4: Simplify right side
    9,187.87x = 66,087,305.93
  5. Step 5: Solve for x
    x = 66,087,305.93/9,187.87
  6. Step 6: Final answer
    x = 7,192.89

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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.