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Finding the Fourth Proportional to 9,987.68, 13,783.74 and 5,796.56

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Solution

The fourth proportional to 9,987.68, 13,783.74 and 5,796.56 is: 7,999.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.68 : 13,783.74 = 5,796.56 : x
  2. Step 2: Convert to fraction form
    9,987.68/13,783.74 = 5,796.56/x
  3. Step 3: Cross multiply
    9,987.68x = 13,783.74 × 5,796.56
  4. Step 4: Simplify right side
    9,987.68x = 79,898,275.93
  5. Step 5: Solve for x
    x = 79,898,275.93/9,987.68
  6. Step 6: Final answer
    x = 7,999.68

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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.