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Finding the Fourth Proportional to 9,283.70, 13,893 and 6,654.10

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Solution

The fourth proportional to 9,283.70, 13,893 and 6,654.10 is: 9,957.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.70 : 13,893 = 6,654.10 : x
  2. Step 2: Convert to fraction form
    9,283.70/13,893 = 6,654.10/x
  3. Step 3: Cross multiply
    9,283.70x = 13,893 × 6,654.10
  4. Step 4: Simplify right side
    9,283.70x = 92,445,411.30
  5. Step 5: Solve for x
    x = 92,445,411.30/9,283.70
  6. Step 6: Final answer
    x = 9,957.82

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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.