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Finding the Fourth Proportional to 9,783.32, 14,671.89 and 3,207.96

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Solution

The fourth proportional to 9,783.32, 14,671.89 and 3,207.96 is: 4,810.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.32 : 14,671.89 = 3,207.96 : x
  2. Step 2: Convert to fraction form
    9,783.32/14,671.89 = 3,207.96/x
  3. Step 3: Cross multiply
    9,783.32x = 14,671.89 × 3,207.96
  4. Step 4: Simplify right side
    9,783.32x = 47,066,836.24
  5. Step 5: Solve for x
    x = 47,066,836.24/9,783.32
  6. Step 6: Final answer
    x = 4,810.93

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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.