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Finding the Fourth Proportional to 9,654.84, 14,469.20 and 4,383.32

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Solution

The fourth proportional to 9,654.84, 14,469.20 and 4,383.32 is: 6,569.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.84 : 14,469.20 = 4,383.32 : x
  2. Step 2: Convert to fraction form
    9,654.84/14,469.20 = 4,383.32/x
  3. Step 3: Cross multiply
    9,654.84x = 14,469.20 × 4,383.32
  4. Step 4: Simplify right side
    9,654.84x = 63,423,133.74
  5. Step 5: Solve for x
    x = 63,423,133.74/9,654.84
  6. Step 6: Final answer
    x = 6,569.05

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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.