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Finding the Fourth Proportional to 9,982.40, 14,984.40 and 6,288.80

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Solution

The fourth proportional to 9,982.40, 14,984.40 and 6,288.80 is: 9,440.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.40 : 14,984.40 = 6,288.80 : x
  2. Step 2: Convert to fraction form
    9,982.40/14,984.40 = 6,288.80/x
  3. Step 3: Cross multiply
    9,982.40x = 14,984.40 × 6,288.80
  4. Step 4: Simplify right side
    9,982.40x = 94,233,894.72
  5. Step 5: Solve for x
    x = 94,233,894.72/9,982.40
  6. Step 6: Final answer
    x = 9,440.00

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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.