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Finding the Fourth Proportional to 9,987.92, 13,783.77 and 5,740.35

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Solution

The fourth proportional to 9,987.92, 13,783.77 and 5,740.35 is: 7,921.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.92 : 13,783.77 = 5,740.35 : x
  2. Step 2: Convert to fraction form
    9,987.92/13,783.77 = 5,740.35/x
  3. Step 3: Cross multiply
    9,987.92x = 13,783.77 × 5,740.35
  4. Step 4: Simplify right side
    9,987.92x = 79,123,664.12
  5. Step 5: Solve for x
    x = 79,123,664.12/9,987.92
  6. Step 6: Final answer
    x = 7,921.94

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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.