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Finding the Fourth Proportional to 9,623.73, 13,282.73 and 5,646.93

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Solution

The fourth proportional to 9,623.73, 13,282.73 and 5,646.93 is: 7,793.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,623.73 : 13,282.73 = 5,646.93 : x
  2. Step 2: Convert to fraction form
    9,623.73/13,282.73 = 5,646.93/x
  3. Step 3: Cross multiply
    9,623.73x = 13,282.73 × 5,646.93
  4. Step 4: Simplify right side
    9,623.73x = 75,006,646.52
  5. Step 5: Solve for x
    x = 75,006,646.52/9,623.73
  6. Step 6: Final answer
    x = 7,793.93

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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.