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Finding the Fourth Proportional to 9,783.34, 14,654.23 and 6,622.71

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Solution

The fourth proportional to 9,783.34, 14,654.23 and 6,622.71 is: 9,920.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.34 : 14,654.23 = 6,622.71 : x
  2. Step 2: Convert to fraction form
    9,783.34/14,654.23 = 6,622.71/x
  3. Step 3: Cross multiply
    9,783.34x = 14,654.23 × 6,622.71
  4. Step 4: Simplify right side
    9,783.34x = 97,050,735.80
  5. Step 5: Solve for x
    x = 97,050,735.80/9,783.34
  6. Step 6: Final answer
    x = 9,920.00

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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.