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Finding the Fourth Proportional to 9,282.68, 12,800.27 and 5,925.63

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Solution

The fourth proportional to 9,282.68, 12,800.27 and 5,925.63 is: 8,171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.68 : 12,800.27 = 5,925.63 : x
  2. Step 2: Convert to fraction form
    9,282.68/12,800.27 = 5,925.63/x
  3. Step 3: Cross multiply
    9,282.68x = 12,800.27 × 5,925.63
  4. Step 4: Simplify right side
    9,282.68x = 75,849,663.92
  5. Step 5: Solve for x
    x = 75,849,663.92/9,282.68
  6. Step 6: Final answer
    x = 8,171.10

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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.