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Finding the Fourth Proportional to 9,624.21, 14,430.84 and 3,777.63

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Solution

The fourth proportional to 9,624.21, 14,430.84 and 3,777.63 is: 5,664.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.21 : 14,430.84 = 3,777.63 : x
  2. Step 2: Convert to fraction form
    9,624.21/14,430.84 = 3,777.63/x
  3. Step 3: Cross multiply
    9,624.21x = 14,430.84 × 3,777.63
  4. Step 4: Simplify right side
    9,624.21x = 54,514,374.11
  5. Step 5: Solve for x
    x = 54,514,374.11/9,624.21
  6. Step 6: Final answer
    x = 5,664.30

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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.