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Finding the Fourth Proportional to 9,582.84, 14,376.39 and 3,739.50

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Solution

The fourth proportional to 9,582.84, 14,376.39 and 3,739.50 is: 5,610.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.84 : 14,376.39 = 3,739.50 : x
  2. Step 2: Convert to fraction form
    9,582.84/14,376.39 = 3,739.50/x
  3. Step 3: Cross multiply
    9,582.84x = 14,376.39 × 3,739.50
  4. Step 4: Simplify right side
    9,582.84x = 53,760,496.38
  5. Step 5: Solve for x
    x = 53,760,496.38/9,582.84
  6. Step 6: Final answer
    x = 5,610.08

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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.