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Finding the Fourth Proportional to 9,985.26, 13,780.11 and 5,737.70

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Solution

The fourth proportional to 9,985.26, 13,780.11 and 5,737.70 is: 7,918.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.26 : 13,780.11 = 5,737.70 : x
  2. Step 2: Convert to fraction form
    9,985.26/13,780.11 = 5,737.70/x
  3. Step 3: Cross multiply
    9,985.26x = 13,780.11 × 5,737.70
  4. Step 4: Simplify right side
    9,985.26x = 79,066,039.56
  5. Step 5: Solve for x
    x = 79,066,039.56/9,985.26
  6. Step 6: Final answer
    x = 7,918.28

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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.