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Finding the Fourth Proportional to 9,582.48, 14,370.84 and 3,008.24

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Solution

The fourth proportional to 9,582.48, 14,370.84 and 3,008.24 is: 4,511.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.48 : 14,370.84 = 3,008.24 : x
  2. Step 2: Convert to fraction form
    9,582.48/14,370.84 = 3,008.24/x
  3. Step 3: Cross multiply
    9,582.48x = 14,370.84 × 3,008.24
  4. Step 4: Simplify right side
    9,582.48x = 43,230,935.72
  5. Step 5: Solve for x
    x = 43,230,935.72/9,582.48
  6. Step 6: Final answer
    x = 4,511.46

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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.