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Finding the Fourth Proportional to 9,956.50, 13,744.91 and 6,988.10

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Solution

The fourth proportional to 9,956.50, 13,744.91 and 6,988.10 is: 9,647.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956.50 : 13,744.91 = 6,988.10 : x
  2. Step 2: Convert to fraction form
    9,956.50/13,744.91 = 6,988.10/x
  3. Step 3: Cross multiply
    9,956.50x = 13,744.91 × 6,988.10
  4. Step 4: Simplify right side
    9,956.50x = 96,050,754.32
  5. Step 5: Solve for x
    x = 96,050,754.32/9,956.50
  6. Step 6: Final answer
    x = 9,647.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.