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Finding the Fourth Proportional to 9,980.84, 14,942.28 and 5,808.12

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Solution

The fourth proportional to 9,980.84, 14,942.28 and 5,808.12 is: 8,695.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.84 : 14,942.28 = 5,808.12 : x
  2. Step 2: Convert to fraction form
    9,980.84/14,942.28 = 5,808.12/x
  3. Step 3: Cross multiply
    9,980.84x = 14,942.28 × 5,808.12
  4. Step 4: Simplify right side
    9,980.84x = 86,786,555.31
  5. Step 5: Solve for x
    x = 86,786,555.31/9,980.84
  6. Step 6: Final answer
    x = 8,695.32

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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.