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Finding the Fourth Proportional to 9,783.89, 14,642.46 and 6,224.21

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Solution

The fourth proportional to 9,783.89, 14,642.46 and 6,224.21 is: 9,315.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.89 : 14,642.46 = 6,224.21 : x
  2. Step 2: Convert to fraction form
    9,783.89/14,642.46 = 6,224.21/x
  3. Step 3: Cross multiply
    9,783.89x = 14,642.46 × 6,224.21
  4. Step 4: Simplify right side
    9,783.89x = 91,137,672.74
  5. Step 5: Solve for x
    x = 91,137,672.74/9,783.89
  6. Step 6: Final answer
    x = 9,315.08

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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.