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Finding the Fourth Proportional to 9,987.42, 13,783.08 and 5,739.85

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Solution

The fourth proportional to 9,987.42, 13,783.08 and 5,739.85 is: 7,921.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.42 : 13,783.08 = 5,739.85 : x
  2. Step 2: Convert to fraction form
    9,987.42/13,783.08 = 5,739.85/x
  3. Step 3: Cross multiply
    9,987.42x = 13,783.08 × 5,739.85
  4. Step 4: Simplify right side
    9,987.42x = 79,112,811.74
  5. Step 5: Solve for x
    x = 79,112,811.74/9,987.42
  6. Step 6: Final answer
    x = 7,921.25

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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.