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Finding the Fourth Proportional to 9,071.28, 12,510.72 and 7,661.88

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Solution

The fourth proportional to 9,071.28, 12,510.72 and 7,661.88 is: 10,566.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.28 : 12,510.72 = 7,661.88 : x
  2. Step 2: Convert to fraction form
    9,071.28/12,510.72 = 7,661.88/x
  3. Step 3: Cross multiply
    9,071.28x = 12,510.72 × 7,661.88
  4. Step 4: Simplify right side
    9,071.28x = 95,855,635.35
  5. Step 5: Solve for x
    x = 95,855,635.35/9,071.28
  6. Step 6: Final answer
    x = 10,566.94

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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.