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Finding the Fourth Proportional to 9,985.33, 13,780.20 and 5,509.09

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Solution

The fourth proportional to 9,985.33, 13,780.20 and 5,509.09 is: 7,602.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.33 : 13,780.20 = 5,509.09 : x
  2. Step 2: Convert to fraction form
    9,985.33/13,780.20 = 5,509.09/x
  3. Step 3: Cross multiply
    9,985.33x = 13,780.20 × 5,509.09
  4. Step 4: Simplify right side
    9,985.33x = 75,916,362.02
  5. Step 5: Solve for x
    x = 75,916,362.02/9,985.33
  6. Step 6: Final answer
    x = 7,602.79

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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.