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Finding the Fourth Proportional to 9,987.55, 13,783.60 and 5,740.10

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Solution

The fourth proportional to 9,987.55, 13,783.60 and 5,740.10 is: 7,921.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.55 : 13,783.60 = 5,740.10 : x
  2. Step 2: Convert to fraction form
    9,987.55/13,783.60 = 5,740.10/x
  3. Step 3: Cross multiply
    9,987.55x = 13,783.60 × 5,740.10
  4. Step 4: Simplify right side
    9,987.55x = 79,119,232.90
  5. Step 5: Solve for x
    x = 79,119,232.90/9,987.55
  6. Step 6: Final answer
    x = 7,921.78

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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.