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Finding the Fourth Proportional to 9,076.46, 12,525.72 and 5,097.92

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Solution

The fourth proportional to 9,076.46, 12,525.72 and 5,097.92 is: 7,035.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.46 : 12,525.72 = 5,097.92 : x
  2. Step 2: Convert to fraction form
    9,076.46/12,525.72 = 5,097.92/x
  3. Step 3: Cross multiply
    9,076.46x = 12,525.72 × 5,097.92
  4. Step 4: Simplify right side
    9,076.46x = 63,855,118.50
  5. Step 5: Solve for x
    x = 63,855,118.50/9,076.46
  6. Step 6: Final answer
    x = 7,035.24

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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.