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Finding the Fourth Proportional to 9,911.87, 13,677.40 and 5,721.47

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Solution

The fourth proportional to 9,911.87, 13,677.40 and 5,721.47 is: 7,895.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.87 : 13,677.40 = 5,721.47 : x
  2. Step 2: Convert to fraction form
    9,911.87/13,677.40 = 5,721.47/x
  3. Step 3: Cross multiply
    9,911.87x = 13,677.40 × 5,721.47
  4. Step 4: Simplify right side
    9,911.87x = 78,254,805.17
  5. Step 5: Solve for x
    x = 78,254,805.17/9,911.87
  6. Step 6: Final answer
    x = 7,895.06

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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.