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Finding the Fourth Proportional to 9,987.84, 13,783.88 and 5,740.27

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Solution

The fourth proportional to 9,987.84, 13,783.88 and 5,740.27 is: 7,921.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.84 : 13,783.88 = 5,740.27 : x
  2. Step 2: Convert to fraction form
    9,987.84/13,783.88 = 5,740.27/x
  3. Step 3: Cross multiply
    9,987.84x = 13,783.88 × 5,740.27
  4. Step 4: Simplify right side
    9,987.84x = 79,123,172.74
  5. Step 5: Solve for x
    x = 79,123,172.74/9,987.84
  6. Step 6: Final answer
    x = 7,921.95

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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.