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Finding the Fourth Proportional to 9,980.39, 14,969.45 and 2,585.49

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Solution

The fourth proportional to 9,980.39, 14,969.45 and 2,585.49 is: 3,877.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.39 : 14,969.45 = 2,585.49 : x
  2. Step 2: Convert to fraction form
    9,980.39/14,969.45 = 2,585.49/x
  3. Step 3: Cross multiply
    9,980.39x = 14,969.45 × 2,585.49
  4. Step 4: Simplify right side
    9,980.39x = 38,703,350.35
  5. Step 5: Solve for x
    x = 38,703,350.35/9,980.39
  6. Step 6: Final answer
    x = 3,877.94

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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.