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Finding the Fourth Proportional to 9,088.56, 12,548.52 and 6,997.68

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Solution

The fourth proportional to 9,088.56, 12,548.52 and 6,997.68 is: 9,661.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,088.56 : 12,548.52 = 6,997.68 : x
  2. Step 2: Convert to fraction form
    9,088.56/12,548.52 = 6,997.68/x
  3. Step 3: Cross multiply
    9,088.56x = 12,548.52 × 6,997.68
  4. Step 4: Simplify right side
    9,088.56x = 87,810,527.43
  5. Step 5: Solve for x
    x = 87,810,527.43/9,088.56
  6. Step 6: Final answer
    x = 9,661.65

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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.