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Finding the Fourth Proportional to 9,802.84, 14,705.88 and 3,877.96

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Solution

The fourth proportional to 9,802.84, 14,705.88 and 3,877.96 is: 5,817.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.84 : 14,705.88 = 3,877.96 : x
  2. Step 2: Convert to fraction form
    9,802.84/14,705.88 = 3,877.96/x
  3. Step 3: Cross multiply
    9,802.84x = 14,705.88 × 3,877.96
  4. Step 4: Simplify right side
    9,802.84x = 57,028,814.40
  5. Step 5: Solve for x
    x = 57,028,814.40/9,802.84
  6. Step 6: Final answer
    x = 5,817.58

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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.