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Finding the Fourth Proportional to 9,282.68, 13,926.08 and 4,605.24

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Solution

The fourth proportional to 9,282.68, 13,926.08 and 4,605.24 is: 6,908.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.68 : 13,926.08 = 4,605.24 : x
  2. Step 2: Convert to fraction form
    9,282.68/13,926.08 = 4,605.24/x
  3. Step 3: Cross multiply
    9,282.68x = 13,926.08 × 4,605.24
  4. Step 4: Simplify right side
    9,282.68x = 64,132,900.16
  5. Step 5: Solve for x
    x = 64,132,900.16/9,282.68
  6. Step 6: Final answer
    x = 6,908.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.