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Finding the Fourth Proportional to 9,987.80, 13,783.82 and 5,740.25

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Solution

The fourth proportional to 9,987.80, 13,783.82 and 5,740.25 is: 7,921.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.80 : 13,783.82 = 5,740.25 : x
  2. Step 2: Convert to fraction form
    9,987.80/13,783.82 = 5,740.25/x
  3. Step 3: Cross multiply
    9,987.80x = 13,783.82 × 5,740.25
  4. Step 4: Simplify right side
    9,987.80x = 79,122,475.13
  5. Step 5: Solve for x
    x = 79,122,475.13/9,987.80
  6. Step 6: Final answer
    x = 7,921.92

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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.