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Finding the Fourth Proportional to 9,801.71, 14,705.75 and 6,677.03

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Solution

The fourth proportional to 9,801.71, 14,705.75 and 6,677.03 is: 10,017.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.71 : 14,705.75 = 6,677.03 : x
  2. Step 2: Convert to fraction form
    9,801.71/14,705.75 = 6,677.03/x
  3. Step 3: Cross multiply
    9,801.71x = 14,705.75 × 6,677.03
  4. Step 4: Simplify right side
    9,801.71x = 98,190,787.38
  5. Step 5: Solve for x
    x = 98,190,787.38/9,801.71
  6. Step 6: Final answer
    x = 10,017.72

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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.