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Finding the Fourth Proportional to 9,282.72, 12,812.16 and 5,924.76

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Solution

The fourth proportional to 9,282.72, 12,812.16 and 5,924.76 is: 8,177.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.72 : 12,812.16 = 5,924.76 : x
  2. Step 2: Convert to fraction form
    9,282.72/12,812.16 = 5,924.76/x
  3. Step 3: Cross multiply
    9,282.72x = 12,812.16 × 5,924.76
  4. Step 4: Simplify right side
    9,282.72x = 75,908,973.08
  5. Step 5: Solve for x
    x = 75,908,973.08/9,282.72
  6. Step 6: Final answer
    x = 8,177.45

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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.