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Finding the Fourth Proportional to 9,980.34, 13,772.66 and 5,504.21

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Solution

The fourth proportional to 9,980.34, 13,772.66 and 5,504.21 is: 7,595.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.34 : 13,772.66 = 5,504.21 : x
  2. Step 2: Convert to fraction form
    9,980.34/13,772.66 = 5,504.21/x
  3. Step 3: Cross multiply
    9,980.34x = 13,772.66 × 5,504.21
  4. Step 4: Simplify right side
    9,980.34x = 75,807,516.51
  5. Step 5: Solve for x
    x = 75,807,516.51/9,980.34
  6. Step 6: Final answer
    x = 7,595.69

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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.