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Finding the Fourth Proportional to 9,156.48, 12,636.72 and 7,661.76

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Solution

The fourth proportional to 9,156.48, 12,636.72 and 7,661.76 is: 10,573.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.48 : 12,636.72 = 7,661.76 : x
  2. Step 2: Convert to fraction form
    9,156.48/12,636.72 = 7,661.76/x
  3. Step 3: Cross multiply
    9,156.48x = 12,636.72 × 7,661.76
  4. Step 4: Simplify right side
    9,156.48x = 96,819,515.83
  5. Step 5: Solve for x
    x = 96,819,515.83/9,156.48
  6. Step 6: Final answer
    x = 10,573.88

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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.