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Finding the Fourth Proportional to 9,987.93, 13,783.76 and 5,738.92

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Solution

The fourth proportional to 9,987.93, 13,783.76 and 5,738.92 is: 7,919.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.93 : 13,783.76 = 5,738.92 : x
  2. Step 2: Convert to fraction form
    9,987.93/13,783.76 = 5,738.92/x
  3. Step 3: Cross multiply
    9,987.93x = 13,783.76 × 5,738.92
  4. Step 4: Simplify right side
    9,987.93x = 79,103,895.94
  5. Step 5: Solve for x
    x = 79,103,895.94/9,987.93
  6. Step 6: Final answer
    x = 7,919.95

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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.