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Finding the Fourth Proportional to 9,878.40, 14,821.20 and 4,039.20

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Solution

The fourth proportional to 9,878.40, 14,821.20 and 4,039.20 is: 6,060.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.40 : 14,821.20 = 4,039.20 : x
  2. Step 2: Convert to fraction form
    9,878.40/14,821.20 = 4,039.20/x
  3. Step 3: Cross multiply
    9,878.40x = 14,821.20 × 4,039.20
  4. Step 4: Simplify right side
    9,878.40x = 59,865,791.04
  5. Step 5: Solve for x
    x = 59,865,791.04/9,878.40
  6. Step 6: Final answer
    x = 6,060.27

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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.