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Finding the Fourth Proportional to 9,624.71, 14,430.84 and 6,327.81

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Solution

The fourth proportional to 9,624.71, 14,430.84 and 6,327.81 is: 9,487.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.71 : 14,430.84 = 6,327.81 : x
  2. Step 2: Convert to fraction form
    9,624.71/14,430.84 = 6,327.81/x
  3. Step 3: Cross multiply
    9,624.71x = 14,430.84 × 6,327.81
  4. Step 4: Simplify right side
    9,624.71x = 91,315,613.66
  5. Step 5: Solve for x
    x = 91,315,613.66/9,624.71
  6. Step 6: Final answer
    x = 9,487.62

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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.