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Finding the Fourth Proportional to 9,262.67, 12,784.47 and 5,904.71

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Solution

The fourth proportional to 9,262.67, 12,784.47 and 5,904.71 is: 8,149.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.67 : 12,784.47 = 5,904.71 : x
  2. Step 2: Convert to fraction form
    9,262.67/12,784.47 = 5,904.71/x
  3. Step 3: Cross multiply
    9,262.67x = 12,784.47 × 5,904.71
  4. Step 4: Simplify right side
    9,262.67x = 75,488,549.73
  5. Step 5: Solve for x
    x = 75,488,549.73/9,262.67
  6. Step 6: Final answer
    x = 8,149.77

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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.