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Finding the Fourth Proportional to 9,257.50, 12,775.54 and 5,065.84

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Solution

The fourth proportional to 9,257.50, 12,775.54 and 5,065.84 is: 6,990.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.50 : 12,775.54 = 5,065.84 : x
  2. Step 2: Convert to fraction form
    9,257.50/12,775.54 = 5,065.84/x
  3. Step 3: Cross multiply
    9,257.50x = 12,775.54 × 5,065.84
  4. Step 4: Simplify right side
    9,257.50x = 64,718,841.55
  5. Step 5: Solve for x
    x = 64,718,841.55/9,257.50
  6. Step 6: Final answer
    x = 6,990.96

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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.